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 $1012011$?
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 $1012011$?