// ---------- begin ModInt ----------
const MOD: u32 = 998_244_353;

#[derive(Clone, Copy)]
struct ModInt(u32);

impl std::ops::Add for ModInt {
    type Output = ModInt;
    fn add(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::AddAssign for ModInt {
    fn add_assign(&mut self, rhs: ModInt) {
        *self = *self + rhs;
    }
}

impl std::ops::Sub for ModInt {
    type Output = ModInt;
    fn sub(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + MOD - rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::SubAssign for ModInt {
    fn sub_assign(&mut self, rhs: ModInt) {
        *self = *self - rhs;
    }
}

impl std::ops::Mul for ModInt {
    type Output = ModInt;
    fn mul(self, rhs: ModInt) -> Self::Output {
        ModInt((self.0 as u64 * rhs.0 as u64 % MOD as u64) as u32)
    }
}

impl std::ops::MulAssign for ModInt {
    fn mul_assign(&mut self, rhs: ModInt) {
        *self = *self * rhs;
    }
}

impl std::ops::Neg for ModInt {
    type Output = ModInt;
    fn neg(self) -> Self::Output {
        ModInt(if self.0 == 0 {0} else {MOD - self.0})
    }
}

impl std::fmt::Display for ModInt {
    fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}

impl std::str::FromStr for ModInt {
    type Err = std::num::ParseIntError;
    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let val = s.parse::<u32>()?;
        Ok(ModInt::new(val))
    }
}

#[allow(dead_code)]
impl ModInt {
    pub fn new(n: u32) -> ModInt {
        ModInt(n % MOD)
    }
    pub fn zero() -> ModInt {
        ModInt(0)
    }
    pub fn one() -> ModInt {
        ModInt(1)
    }
    pub fn pow(self, mut n: u32) -> ModInt {
        let mut t = ModInt::one();
        let mut s = self;
        while n > 0 {
            if n & 1 == 1 {
                t *= s;
            }
            s *= s;
            n >>= 1;
        }
        t
    }
    pub fn inv(self) -> ModInt {
        self.pow(MOD - 2)
    }
}
// ---------- end ModInt ----------

use std::io::Read;

fn run() {
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    let n: usize = it.next().unwrap().parse().unwrap();
    let s: Vec<usize> = it.next().unwrap().chars().map(|c| c.to_digit(10).unwrap() as usize).collect();
    let mut map = std::collections::BTreeMap::<usize, ModInt>::new();
    for d in (1..(n + 1)).rev() {
        if n % d != 0 || d % 2 == 0{
            continue;
        }
        let w = n / d;
        let mut dp = vec![ModInt::one(), ModInt::zero()];
        for &c in s[..w].iter() {
            let mut next = vec![ModInt::zero(); 2];
            next[1] += dp[1];
            next[1] += dp[1];
            if c == 1 {
                next[1] += dp[0];
            }
            next[0] += dp[0];
            dp = next;
        }
        for (&a, &b) in s.iter().zip(s[w..].iter()) {
            if (a ^ 1) > b {
                dp[0] = ModInt::zero();
            }
            if (a ^ 1) < b {
                break;
            }
        }
        let mut cnt = dp[0] + dp[1];
        for (k, v) in map.iter() {
            if w % k == 0 {
                cnt -= *v;
            }
        }
        map.insert(w, cnt);
    }
    let mut ans = ModInt::zero();
    for (k, v) in map.into_iter() {
        ans += ModInt((2 * k) as u32) * v;
    }
    println!("{}", ans);
}

fn main() {
    run();
}


Measured memory_bytes: 6396