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MathNet 2011 Question 23

Math Olympiad Vault · MathNet 2011

Question 23

We can change a natural number $n$ in three ways:

a) If the number $n$ has at least two digits, we erase the last digit and we subtract that digit from the remaining number (for example, from $123$ we get $12-3=9$);

b) If the last digit is different from $0$, we can change the order of the digits in the opposite one (for example, from $123$ we get $321$);

c) We can multiply the number $n$ by a number from the set $\{1,2,3, \ldots, 2010\}$.

Can we get the number $21062011$ from the number $1012011$?