Multiples with Only the Digits 0 and 1
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Any positive integer number has a multiple containing only the digits 0 or 1. Moreover, if the number is not a multiple of 2 or 5, you can even find a multiple made only with 1s. This Demonstration shows this multiple and additionally, if the number is a power of 2 (2, 4, 8, 16, …), another multiple containing only 1s and 2s.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
P. Winkler, Mathematical Puzzles, A Connoisseur's Collection, Natick, MA: AK Peters, 2004.
"Multiples with Only the Digits 0 and 1"
Wolfram Demonstrations Project
Published: March 7 2011