2018 is not a Palindrome, So...
Number Theory
Level
2
A Palindrome is an integer that reads the same forwards as backwards. For example, 12321 is a Palindrome.
2018 is not a Palindrome. If I added an integer X to 2018, the resulting number is a Palindrome!
What is the smallest possible value of X?
The answer is -2018.
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1 solution
The smallest integer palindrome is 0. Notice that negative integers are not palindromic. Hence, the smallest possible value of integer X must be -2018.