MathDB
sum of lucky numbers divisible by 2002 - Chile 2002 L2 P1

Source:

September 1, 2022
chilean NMOnumber theory

Problem Statement

A Metro ticket, which has six digits, is considered a "lucky number" if its six digits are different and their first three digits add up to the same as the last three (A number such as 026134026134 is "lucky number"). Show that the sum of all the "lucky numbers" is divisible by 20022002.