Question 75
Find all $n \in \mathbb{N}$ divisible by $11$, such that all numbers that can be obtained from $n$ by an arbitrary rearrangement of its digits are again divisible by $11$.
Translation of the repeated Macedonian statement: Find all $n\in\mathbb N$ divisible by $11$ such that every number obtained by an arbitrary rearrangement of the digits of $n$ is again divisible by $11$.
Translation of the repeated Macedonian statement: Find all $n\in\mathbb N$ divisible by $11$ such that every number obtained by an arbitrary rearrangement of the digits of $n$ is again divisible by $11$.