---
id: 5900f4e51000cf542c50fff8
challengeType: 5
title: 'Problem 377: Sum of digits, experience 13'
forumTopicId: 302039
---

## Description
<section id='description'>
There are 16 positive integers that do not have a zero in their digits and that have a digital sum equal to 5, namely:
5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111 and 11111.
Their sum is 17891.


Let f(n) be the sum of all positive integers that do not have a zero in their digits and have a digital sum equal to n.


Find $\displaystyle \sum_{i=1}^{17} f(13^i)$.
Give the last 9 digits as your answer.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler377()</code> should return 732385277.
    testString: assert.strictEqual(euler377(), 732385277);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler377() {

  return true;
}

euler377();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>