3rd puzzle by Dr Harry Wiggins
A palindromic number is a positive integer (consisting of one or more digits) that remains the same when the digits are reversed. For example: 386683,2442 and 111 (Nelson number, see https://en.wikipedia.org/wiki/111_(number)) are palindromic numbers, but 3447 and 200 are not. There is exactly one palindromic number with the following property: if you add 2018 to it, the result is again a palindromic number. What is this number?