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insolite numbers
A number that it is divisible by the sum and by the product of the squares of its digits. more

The insolite numbers up to 1015 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 71 values, from 111 to 691112321114112).

n\r 0  1 
2692 2 
36722 3 
469002 4 
50155411 5 
66502220 6 
71869910613 7 
8680001002 8 
96212300210 9 
10025401013010 10 
1113413512236382

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.