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
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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
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