A Narcissistic number is a positive integer that equals the sum of M-th powers of their digits when the number is M-digit long.

153 is a Narcissistic number, since: 1³+5³+3³=153.
Sloane's A005188 has an article on this, in which inter-alia it is mentioned that the sequence of Narcissistic numbers terminates at the 88th term.

A Cerossistic number is a base ten M-digit long positive integer which is equal to the sum of M-th powers of one less than each of the digits.

For example, if we check for 371 we find that:
2³+6³+0³ = 224, which is NOT equal to 371.

Determine the smallest Cerossistic number.

Note: No Cerossistic number can admit of the digit zero.

(In reply to computer solution by Charlie)

Posted by K Sengupta on 2023-01-11 00:50:07