MathDB
100-digit positive integers

Source: 45th International Tournament of Towns, Senior O-Level P3, Fall 2023

December 16, 2023
number theory

Problem Statement

3. Consider all 100-digit positive integers such that each decimal digit of these equals 2,3,4,5,62,3,4,5,6, or 7 . How many of these integers are divisible by 21002^{100} ? Pavel Kozhevnikov