freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-168-number-rotation...

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---
id: 5900f4151000cf542c50ff27
challengeType: 5
title: 'Problem 168: Number Rotations'
forumTopicId: 301802
---
## Description
<section id='description'>
Consider the number 142857. We can right-rotate this number by moving the last digit (7) to the front of it, giving us 714285.
It can be verified that 714285=5×142857.
This demonstrates an unusual property of 142857: it is a divisor of its right-rotation.
Find the last 5 digits of the sum of all integers n, 10 < n < 10100, that have this property.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler168()</code> should return 59206.
testString: assert.strictEqual(euler168(), 59206);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler168() {
// Good luck!
return true;
}
euler168();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>