Friday 31 August, 2007

Guess the Number

I have a natural number which has the following properties:

(1) Each of the 10 digits (0 to 9) appears exactly once in the number.
(2) For each pair of digits whose sum is 9, the number of other digits positioned strictly between the pair is equal to the smaller digit of the pair.
(3) The sum of each pair of digits positioned at the same distance from opposite ends of the number is a prime number.
(4) The difference between any 2 adjacent digits is greater than 1.
(5) The number is a multiple of the number of digits in the number.

What number am I talking about? This number is unique; there is only one answer to this question.