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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-168-number-rotations.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f4151000cf542c50ff27
title: 'Problem 168: Number Rotations'
challengeType: 5
forumTopicId: 301802
dashedName: problem-168-number-rotations
---
# --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 &lt; n &lt; 10100, that have this property.
# --hints--
`euler168()` should return 59206.
```js
assert.strictEqual(euler168(), 59206);
```
# --seed--
## --seed-contents--
```js
function euler168() {
return true;
}
euler168();
```
# --solutions--
```js
// solution required
```