Question 20
(ARG) Prove that for each positive integer $n$, there exists a positive integer with the following properties:
(i) It has exactly $n$ digits.
(ii) None of the digits is $0$.
(iii) It is divisible by the sum of its digits.
(i) It has exactly $n$ digits.
(ii) None of the digits is $0$.
(iii) It is divisible by the sum of its digits.