Digit transfer

Level pending

A positive integer is such that when its last digit is moved to the start of the number (example: 1234 becomes 4123), the resulting number is larger than and is an integral multiple of the original number. Find the last 3 digits of the original number.

Details and Assumptions: Numbers are written in standard decimal notation with no leading zeroes. If the original number is 23004, then the answer will be 004 (you can enter 4 also)

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