Prime numbers are numbers whose only divisors are one and
itself. For example, 31 is a prime number because its only divisors are 1
and 31. However, 12 is not a prime number because it can be divided by 1,
2, 3, 4, 6, or 12.
There are more than 360,000 different 9-digit numbers that can be formed by
rearranging the digits in the following number:
How many of these numbers formed are prime numbers?