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Question Mark #8 Mystery Cache

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Difficulty:
1.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Question Mark # 8


It has long been known that a number exists with a very particular peculiarity. It divides an exact number of times into each number between 10,000,000 and 100,000,000 whose first four digits are identical to its second four digits. The digits of this peculiar number add up to ten. What is this number?

You can validate your puzzle solution with certitude.

Additional Hints (Decrypt)

gur nafjre vf n 2 qvtvg ahzore

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)