---
id: 5900f4931000cf542c50ffa5
challengeType: 5
title: 'Problem 294: Sum of digits - experience #23'
forumTopicId: 301946
---
## Description
For a positive integer k, define d(k) as the sum of the digits of k in its usual decimal representation.
Thus d(42) = 4+2 = 6.
For a positive integer n, define S(n) as the number of positive integers k < 10n with the following properties :
k is divisible by 23 and
d(k) = 23.
You are given that S(9) = 263626 and S(42) = 6377168878570056.
Find S(1112) and give your answer mod 109.
## Instructions
## Tests
```yml
tests:
- text: euler294() should return 789184709.
testString: assert.strictEqual(euler294(), 789184709);
```
## Challenge Seed
```js
function euler294() {
return true;
}
euler294();
```