153 is an Armstrong number, since: 1

^{3}+5

^{3}+3

^{3}=153.

**Sloane's A005188**has an article on this, in which inter-alia it is mentioned that the sequence of Armstrong numbers terminates at the 88th term.

An

*Armstwo number*is a base ten, M-digit long positive integer which is equal to the sum of M-th powers of

*one greater than*each of the digits.

For example, if we check for 153, we find that:

2

^{3}+6

^{3}+4

^{3}= 288, which is NOT equal to 153.

Determine the smallest Armstwo number.

**** Heartfelt thanks to Larry for inspiring this puzzle.