45 lines
820 B
Markdown
45 lines
820 B
Markdown
---
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id: 5900f4151000cf542c50ff27
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title: 'Problem 168: Number Rotations'
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challengeType: 5
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forumTopicId: 301802
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dashedName: problem-168-number-rotations
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---
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# --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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# --hints--
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`numberRotations()` should return `59206`.
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```js
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assert.strictEqual(numberRotations(), 59206);
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```
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# --seed--
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## --seed-contents--
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```js
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function numberRotations() {
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return true;
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}
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numberRotations();
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```
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# --solutions--
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```js
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// solution required
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```
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