---
id: 5900f4931000cf542c50ffa5
title: 'Problem 294: Sum of digits - experience #23'
challengeType: 5
forumTopicId: 301946
dashedName: problem-294-sum-of-digits---experience-23
---

# --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.

# --hints--

`euler294()` should return 789184709.

```js
assert.strictEqual(euler294(), 789184709);
```

# --seed--

## --seed-contents--

```js
function euler294() {

  return true;
}

euler294();
```

# --solutions--

```js
// solution required
```