2018-09-30 22:01:58 +00:00
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---
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id: 5900f4151000cf542c50ff27
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challengeType: 5
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title: 'Problem 168: Number Rotations'
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---
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## Description
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<section id='description'>
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Consider the number 142857. We can right-rotate this number by moving the last digit (7) to the front of it, giving us 714285.
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It can be verified that 714285=5×142857.
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This demonstrates an unusual property of 142857: it is a divisor of its right-rotation.
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Find the last 5 digits of the sum of all integers n, 10 < n < 10100, that have this property.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler168()</code> should return 59206.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler168(), 59206, '<code>euler168()</code> should return 59206.');
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler168() {
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// Good luck!
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return true;
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}
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euler168();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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