MathDB
Easy Division problem

Source: PRMO 2019 Leg 2 P5

August 25, 2019
algebraDivisionnumber theory

Problem Statement

Let NN be the smallest positive integer such that N+2N+3N+…+9NN+2N+3N+\ldots +9N is a number all of whose digits are equal. What is the sum of digits of NN?
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