We call a positive integer alternating if every two consecutive digits in its decimal representation are of different parity.
Find all positive integers
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
such that
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
has a multiple which is alternating.
%V0
We call a positive integer alternating if every two consecutive digits in its decimal representation are of different parity.
Find all positive integers $n$ such that $n$ has a multiple which is alternating.