CONO-SUR 2002 Problem 6

Let $n$ a positive integer, $n > 1$ . The number $n$ is wonderful if the number is divisible by sum of the your prime factors. For example; $90$ is wondeful, because $90 = 2 \times 3^2\times 5$ and $2 + 3 + 5 = 10, 10$ divides $90$ . Show that, exist a number "wonderful" with at least $10^{2002}$ distinct prime numbers.