MathDB

8.6

Part of 2007 All-Russian Olympiad Regional Round

Problems(1)

number is obtained from other number by permuting its digits

Source: Russian 2007

8/22/2007
A number B B is obtained from a positive integer number A A by permuting its decimal digits. The number A\minus{}B\equal{}11...1 (n n of 1′s 1's). Find the smallest possible positive value of n n.
number theory proposednumber theory