Task 1. Provide an example of a nine-digit natural number that is divisible by 2 if the second (from the left) digit is erased, by 3 if the third digit is erased in the original number, ..., and by 9 if the ninth digit is erased in the original number.
1. Answer. For example, 900900000.

Note. In fact, there are 28573 numbers that satisfy the conditions of the problem, the smallest of which is 100006020, and the largest is 999993240.