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102102103131 = 3747733793739
BaseRepresentation
bin101111100010111000…
…0100111010001011011
3100202112200010020122020
41133011300213101123
53133101114300011
6114523254225523
710243120362030
oct1370560472133
9322480106566
10102102103131
113a334a80316
12179559552a3
139822185952
144d282d7387
1529c8a6a006
hex17c5c2745b

102102103131 has 64 divisors (see below), whose sum is σ = 161539276800. Its totient is φ = 56156841216.

The previous prime is 102102103123. The next prime is 102102103151. The reversal of 102102103131 is 131301201201.

It is a happy number.

It is not a de Polignac number, because 102102103131 - 23 = 102102103123 is a prime.

It is a super-2 number, since 2×1021021031312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102102103131.

It is not an unprimeable number, because it can be changed into a prime (102102103151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27305460 + ... + 27309198.

It is an arithmetic number, because the mean of its divisors is an integer number (2524051200).

Almost surely, 2102102103131 is an apocalyptic number.

102102103131 is a deficient number, since it is larger than the sum of its proper divisors (59437173669).

102102103131 is a wasteful number, since it uses less digits than its factorization.

102102103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102102103131 its reverse (131301201201), we get a palindrome (233403304332).

The spelling of 102102103131 in words is "one hundred two billion, one hundred two million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 73 141 219 329 379 511 987 1137 1533 2653 3431 3739 7959 10293 11217 17813 24017 26173 27667 53439 72051 78519 83001 124691 175733 193669 272947 374073 527199 581007 818841 1230131 1300349 1417081 1910629 3690393 3901047 4251243 5731887 9102443 9919567 12828509 27307329 29758701 38485527 66602807 89799563 103446913 199808421 269398689 310340739 466219649 724128391 1398658947 2172385173 4862004911 14586014733 34034034377 102102103131