---
id: 5900f5271000cf542c510039
title: 'Problem 442: Eleven-free integers'
challengeType: 5
forumTopicId: 302114
dashedName: problem-442-eleven-free-integers
---

# --description--

An integer is called eleven-free if its decimal expansion does not contain any substring representing a power of 11 except 1.

For example, 2404 and 13431 are eleven-free, while 911 and 4121331 are not.

Let E(n) be the nth positive eleven-free integer. For example, E(3) = 3, E(200) = 213 and E(500 000) = 531563.

Find E(1018).

# --hints--

`euler442()` should return 1295552661530920200.

```js
assert.strictEqual(euler442(), 1295552661530920200);
```

# --seed--

## --seed-contents--

```js
function euler442() {

  return true;
}

euler442();
```

# --solutions--

```js
// solution required
```