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131372902116 = 223219323132
BaseRepresentation
bin111101001011001101…
…1110110011011100100
3110120002121021220021100
41322112123312123210
54123022430331431
6140204001120100
712330354146301
oct1722633663344
9416077256240
10131372902116
115079563a885
1221564629030
13c508456251
1465039660a8
15363d6544e6
hex1e966f66e4

131372902116 has 81 divisors (see below), whose sum is σ = 334880943579. Its totient is φ = 43424888832.

The previous prime is 131372902109. The next prime is 131372902123. The reversal of 131372902116 is 611209273131.

The square root of 131372902116 is 362454.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (131372902109) and next prime (131372902123).

It can be written as a sum of positive squares in 4 ways, for example, as 90147660516 + 41225241600 = 300246^2 + 203040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419721576 + ... + 419721888.

Almost surely, 2131372902116 is an apocalyptic number.

131372902116 is the 362454-th square number.

It is an amenable number.

131372902116 is an abundant number, since it is smaller than the sum of its proper divisors (203508041463).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131372902116 is an equidigital number, since it uses as much as digits as its factorization.

131372902116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 131372902116 by its sum of digits (36), we get a square (4729424476176 = 21747242).

131372902116 divided by its sum of digits (36) gives a square (3649247281 = 604092).

The spelling of 131372902116 in words is "one hundred thirty-one billion, three hundred seventy-two million, nine hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 193 313 386 579 626 772 939 1158 1252 1737 1878 2316 2817 3474 3756 5634 6948 11268 37249 60409 74498 97969 111747 120818 148996 181227 195938 223494 241636 293907 335241 362454 391876 446988 543681 587814 670482 724908 881721 1087362 1175628 1340964 1763442 2174724 3526884 11658937 18908017 23317874 34976811 37816034 46635748 56724051 69953622 75632068 104930433 113448102 139907244 170172153 209860866 226896204 340344306 419721732 680688612 3649247281 7298494562 10947741843 14596989124 21895483686 32843225529 43790967372 65686451058 131372902116