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gikf 32fac23a2d fix(curriculum): clean-up Project Euler 161-180 (#42782)
* fix: clean-up Project Euler 161-180

* fix: corrections from review

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
2021-07-12 16:19:03 +02:00

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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--
`numberRotations()` should return `59206`.
```js
assert.strictEqual(numberRotations(), 59206);
```
# --seed--
## --seed-contents--
```js
function numberRotations() {
return true;
}
numberRotations();
```
# --solutions--
```js
// solution required
```