// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)std::cin>>w;
// output
#define OUT(dist) std::cout<<(dist);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<std::setw(n)<<std::setfill(c)<<(dist);
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t:" << (dist) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}
#define SHOWSTACK(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.top() << " ";tmp.pop();}std::cerr << "\n";}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define REP(w, n) for(int w=0;w<int(n);++w)
#define RREP(w, n) for(int w=int(n)-1;w>=0;--w)
#define IN(a, x, b) (a<=x && x<b)
template<class T> inline T CHMAX(T & a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;

template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const
#define int ll
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-10;
constexpr int MOD = 998244353;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------------------->8------------

constexpr int N = 15;
using B = std::bitset<N>;

B next(B x) {
	if (x[0] == 0) {
		x >>= 1;
		x |= 1 << (N - 1);
	}
	else {
		x >>= 1;
	}
	return x;
}

int calc(B x) {
	B base(x);
	int cnt = 0;
	V<B> a;
	do {
		a.emplace_back(x);
		x = next(x);
		++cnt;
	} while (x != base);
	if (cnt != N * 2) {
		/*REP(i, a.size()) {
			SHOW(a[i]);
		}*/
		SHOW(cnt);
	}
	return cnt;
}

std::vector<int> enumerateDivisors(ll n) {
	std::set<int> set;
	for (int i = 1; i * i <= n; ++i) {
		if (n % i) continue;
		set.insert(i);
		set.insert(n / i);
	}
	std::vector<int> res(set.size());
	int p = 0;
	for (const auto& x : set) {
		res[p++] = x;
	}
	return res;
}

int convert(std::string s) {
	int res = 0;
	int now = 1;
	RREP(i, s.size()) {
		if (s[i] == '1') (res += now) %= MOD;
		(now *= 2) %= MOD;
	}
	return res;
}

signed main() {
	INIT;

	if (0) {
		int ans = 0;
		REP(k, 1 << N) {
			(ans += calc(k)) %= MOD;
		}
		SHOW(ans);
		return 0;
	}

	VAR(int, n);
	VAR(std::string, s);

	auto ds(enumerateDivisors(n));

	int rest = 1 + convert(s);
	int add = 0;

	V<int> v(ds.size());
	int idx = -1;
	for (const auto& d : ds) {
		++idx;
		if (n / d % 2 == 0) continue;
		std::string S(s.substr(0, d));

		bool ok = [&] {
			REP(i, s.size()) {
				char c = S[i % S.size()];
				if (i / S.size() % 2 == 1) {
					c = (c == '0') ? '1' : '0';
				}
				if (c > s[i]) return false;
				if (c < s[i]) return true;
			}
			return true;
		}();
		if (ok) {
			++v[idx];
		}

		v[idx] += convert(S);
	}

	REP(i, ds.size()) FOR(j, i + 1, ds.size()) {
		if (ds[j] % ds[i] == 0 && ds[j] / ds[i] % 2 == 1) {
			v[j] -= v[i];
		}
	}
	REP(i, ds.size()) {
		(rest -= v[i]) %= MOD;
		(add += ds[i] * 2 * v[i]) %= MOD;
	}

	(rest *= n * 2) %= MOD;
	int ans = (rest + add) % MOD;
	if (ans < 0) ans += MOD;

	OUT(ans)BR;

	return 0;
}

Measured memory_bytes: 848