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89298 is a remarkable palindrome.

Form the numerator as follows : n*(n+1)*(n+2)*...*(n+9).
Form the denominator as follows : n+(n+1)+(n+2)+...+(n+9).

Now replace 'n' with our remarkable palindrome 89298 and finish the division.

89298 * 89299 * 89300 * ... * 89308

89298 + 89299 + 89300 + ... + 89308
32257905695576766971727229557101926612558581984000

893025
quotient is exactly
36122063431120928273819019128358026497084160

CONJECTURE
89298 is the largest 'n' from a set of 38 numbers that yields an integer.
For consulting the full set please refer to Sloane's entry A032782

A000034 Prime Curios! Prime Puzzle
Wikipedia 34 Le Nombre 34 Numberland 34














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