45 lines
780 B
Markdown
45 lines
780 B
Markdown
|
---
|
|||
|
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 < n < 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
|
|||
|
```
|