Persistent Numbers
Source:
March 10, 2007
Problem Statement
In a non-recent edition of Ripley's Believe It or Not, it was stated that the number
is a persistent number, that is, if multiplied by any positive integer the resulting number always contains the ten digits in some order with possible repetitions.
a) Prove or disprove the above statement.
b) Are there any persistent numbers smaller than the above number?