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MathNet 2023-part-04 — 191 problems (EN–VI) Question 74

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 74

The crab of a positive integer is the number you get when you write down its digits in reverse order. For example, the crab of $8267$ equals $7628$ and the crab of $15620$ equals $2651$ (because the leading zero is always dropped).
What is the smallest positive integer $n$ such that $n$ minus the crab of $n$ equals $12345678$?