MathDB
IOQM 2022 P4

Source:

March 8, 2022
IOQM

Problem Statement

Consider the set of all 6-digit numbers consisting of only three digits, a,b,ca,b,c where a,b,ca,b,c are distinct. Suppose the sum of all these numbers is 593999406593999406. What is the largest remainder when the three digit number abcabc is divided by 100100?