## Problem

Given a number consisting of 2016 digits 1. Prove that it is divisible by 101.

## Answer Submission Is Not Available

Form is valid through March 2017

## Solution

Dear visitors and friends of the site,

thank you for your solutions.

The first to send a correct one was Jacob. Well done!

Here is my solution and welcome to the April's problem!

Serge Hazanov

Solution

The initial number can be presented as 1111*10^{2012} + 1111*10^{2008} +…+1111*10^{4}+1111*1.

As 1111 is a multiple of 101, the above is also a multiple of 101.

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