## Find the largest 0 to 9 pandigital that can be formed by concatenating products

### Problem 170

Published on Saturday, 1st December 2007, 01:00 am; Solved by 1220; Difficulty rating: 70%Take the number 6 and multiply it by each of 1273 and 9854:

6 × 1273 = 7638

6 × 9854 = 59124

By concatenating these products we get the 1 to 9 pandigital 763859124. We will call 763859124 the "concatenated product of 6 and (1273,9854)". Notice too, that the concatenation of the input numbers, 612739854, is also 1 to 9 pandigital.

The same can be done for 0 to 9 pandigital numbers.

What is the largest 0 to 9 pandigital 10-digit concatenated product of an integer with two or more other integers, such that the concatenation of the input numbers is also a 0 to 9 pandigital 10-digit number?