Question 96
A positive integer $m$ is called a zero-carrier if there exists a positive integer $k$ such that:
- $k$ is a perfect square;
- $k$ is a multiple of $m$;
- the decimal representation of $k$ contains at least $2021$ zero digits, but its last (rightmost) digit is nonzero.
Determine all zero-carriers.
- $k$ is a perfect square;
- $k$ is a multiple of $m$;
- the decimal representation of $k$ contains at least $2021$ zero digits, but its last (rightmost) digit is nonzero.
Determine all zero-carriers.