Question 33
A number is called a *palindrome* if reversing its digits results in the exact same number.
Given an integer $n \gt 1$, how many $n$-digit natural numbers are there such that when added to the number obtained by reversing the order of its digits, the result is a palindrome?
Given an integer $n \gt 1$, how many $n$-digit natural numbers are there such that when added to the number obtained by reversing the order of its digits, the result is a palindrome?