I have the following statement:
"Palindromes starting with $n$ such that the sum of the digits of the product of the factorial of $n$ and reverse of $n$ is equal to the center digit."
And I am trying to understand what it says (I am not a native English speaker). It gave the numbers $595$ and $11911$ as examples. I do not get it.
I aksed my prof for another example and he gave me $696$ with the following explanation:
$$6!\cdot6!=518400; 5+1+8+4+0+0=18; 1+8=9.$$