Find the largest divisor of 10157000010157 which is less than 1 million, Similar ARML 2003

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Modeled after ARML(American Regions Mathematics League) 2003 problem. Thanks to the late mathematician/educator Thomas Kilkelly and Heather Barry. Sum of two cubes plays crucial factoring role. Divisibility test for 7(subtract twice the last digit and subtract from rest of the integer)
Problem in Titu Andreescu's 104 number theory problems book. Excellent free online math resource.
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