#include<stdio.h>
#include<iostream>
#include<vector>
#include<algorithm>
#include<string>
#include<string.h>

#ifdef LOCAL
#define eprintf(...) fprintf(stderr, __VA_ARGS__)
#else
#define NDEBUG
#define eprintf(...) do {} while (0)
#endif
#include<cassert>

using namespace std;

typedef long long LL;
typedef vector<int> VI;

#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define EACH(i,c) for(__typeof((c).begin()) i=(c).begin(),i##_end=(c).end();i!=i##_end;++i)

template<class T> inline void amin(T &x, const T &y) { if (y<x) x=y; }
template<class T> inline void amax(T &x, const T &y) { if (x<y) x=y; }
template<class Iter> void rprintf(const char *fmt, Iter begin, Iter end) {
    for (bool sp=0; begin!=end; ++begin) { if (sp) putchar(' '); else sp = true; printf(fmt, *begin); }
    putchar('\n');
}
template<unsigned MOD_> struct ModInt {
    static const unsigned MOD = MOD_;
    unsigned x;
    void undef() { x = (unsigned)-1; }
    bool isnan() const { return x == (unsigned)-1; }
    inline int geti() const { return (int)x; }
    ModInt() { x = 0; }
    ModInt(const ModInt &y) { x = y.x; }
    ModInt(int y) { if (y<0 || (int)MOD<=y) y %= (int)MOD; if (y<0) y += MOD; x=y; }
    ModInt(unsigned y) { if (MOD<=y) x = y % MOD; else x = y; }
    ModInt(long long y) { if (y<0 || MOD<=y) y %= MOD; if (y<0) y += MOD; x=y; }
    ModInt(unsigned long long y) { if (MOD<=y) x = y % MOD; else x = y; }
    ModInt &operator+=(const ModInt y) { if ((x += y.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(const ModInt y) { if ((x -= y.x) & (1u<<31)) x += MOD; return *this; }
    ModInt &operator*=(const ModInt y) { x = (unsigned long long)x * y.x % MOD; return *this; }
    ModInt &operator/=(const ModInt y) { x = (unsigned long long)x * y.inv().x % MOD; return *this; }
    ModInt operator-() const { return (x ? MOD-x: 0); }

    ModInt inv() const { return pow(MOD-2); }
    ModInt pow(long long y) const {
	ModInt b = *this, r = 1;
	if (y < 0) { b = b.inv(); y = -y; }
	for (; y; y>>=1) {
	    if (y&1) r *= b;
	    b *= b;
	}
	return r;
    }

    ModInt extgcd() const {
	unsigned a = MOD, b = x; int u = 0, v = 1;
	while (b) {
	    int t = a / b;
	    a -= t * b; swap(a, b);
	    u -= t * v; swap(u, v);
	}
	if (u < 0) u += MOD;
	return ModInt(u);
    }

    friend ModInt operator+(ModInt x, const ModInt y) { return x += y; }
    friend ModInt operator-(ModInt x, const ModInt y) { return x -= y; }
    friend ModInt operator*(ModInt x, const ModInt y) { return x *= y; }
    friend ModInt operator/(ModInt x, const ModInt y) { return x *= y.inv(); }
    friend bool operator<(const ModInt x, const ModInt y) { return x.x < y.x; }
    friend bool operator==(const ModInt x, const ModInt y) { return x.x == y.x; }
    friend bool operator!=(const ModInt x, const ModInt y) { return x.x != y.x; }
};

const LL MOD = 998244353;
typedef ModInt<MOD> Mint;

int N;
char X[200011];

bool LE(int p) {
    int k = 0;
    REP (i, N*2) {
	int a = (k < p? X[k]-'0': (X[k-p]-'0')^1);
	int b = (i < N? X[i]-'0': (X[i-N]-'0')^1);
	if (a > b) return false;
	if (a < b) return true;
	k++;
	if (k == p*2) a = 0;
    }
    return true;
}

void MAIN() {
    scanf("%d%s", &N, X);

    VI D;
    for (int i=1; i<=N; i++) if (N % i == 0 && N/i%2 == 1) D.push_back(i);

//    int m = 0;
//    REP (i, N) {
//	m *= 2;
//	if (X[i] == '1') m++;
//    }
//    printf("X = %d\n", m);
    
    Mint ans = 0;
    int pos = 0;
    Mint val = 0;
    vector<Mint> E(D.size());

    REP (i, N) {
	if (X[i] == '0') {
	    val *= 2;
	} else {
	    val = val * 2 + 1;
	}

	if (i+1 == D[pos]) {
	    E[pos] = val;
	    REP (j, pos) if (D[pos] % D[j] == 0 && D[pos]/D[j]%2 == 1) {
		E[pos] -= E[j];
	    }
	    int tmp = 0;
	    tmp += val.geti();

	    if (LE(i+1)) {
		tmp += 1;
		E[pos] += 1;
	    }
	    ans += E[pos] * (i+1);

	    pos++;
	}
    }

    ans *= 2;
    printf("%d\n", ans.geti());

//    REP (k, 1<<N) {
//	int a;
//	if (k & 1) a = k/2;
//	else a = k/2 + (1<<(N-1));
//	eprintf("%d -> %d\n", k, a);
//    }
}

int main() {
    int TC = 1;
//    scanf("%d", &TC);
    REP (tc, TC) MAIN();
    return 0;
}



Measured memory_bytes: 384