Determine the smallest integer N such that the decimal representation of N contains only the digits 0 and 1, and there are 8 distinct integers A,B,C,D,E,F,G,H where the 8 quotients N/A, N/B, N/C, ..., N/H are all pandigital integers.
That is, each quotient contains each of the digits 0 to 9 exactly once. For example, 1001100111111 / 373 = 2683914507.