## Multiples with small digits

### Problem 303

Published on Saturday, 25th September 2010, 10:00 pm; Solved by 2298; Difficulty rating: 35%
For a positive integer `n`, define `f`(`n`) as the least positive multiple of `n` that, written in base 10, uses only digits ≤ 2.

Thus `f`(2)=2, `f`(3)=12, `f`(7)=21, `f`(42)=210, `f`(89)=1121222.

Also, .

Find .