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132232343232231 = 321122112039928211
BaseRepresentation
bin11110000100001110111101…
…110110001001111011100111
3122100012021210100122020221100
4132010032331312021323213
5114312443314331412411
61145122411100451143
736565320510123324
oct3604167566117347
9570167710566840
10132232343232231
1139151470512300
12129b7620249ab3
1358a25c1b01758
14249211845bb4b
151044a001d5456
hex7843bdd89ee7

132232343232231 has 72 divisors (see below), whose sum is σ = 210957464390400. Its totient is φ = 79754262588000.

The previous prime is 132232343232229. The next prime is 132232343232239.

132232343232231 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 323 + 4 + 3 + 2 + 322 + 3 + 1 = 666.

132232343232231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132232343232231 - 21 = 132232343232229 is a prime.

It is a super-2 number, since 2×1322323432322312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232343232239) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4687247716 + ... + 4687275926.

It is an arithmetic number, because the mean of its divisors is an integer number (2929964783200).

Almost surely, 2132232343232231 is an apocalyptic number.

132232343232231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132232343232231 is a deficient number, since it is larger than the sum of its proper divisors (78725121158169).

132232343232231 is a wasteful number, since it uses less digits than its factorization.

132232343232231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48849 (or 48835 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 132232343232231 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 211 363 633 1089 1899 2321 6963 20399 20889 25531 28211 61197 76593 84633 183591 224389 229779 253899 310321 673167 930963 2019501 2468279 2792889 3413531 4304189 5952521 7404837 10240593 12912567 17857563 22214511 30721779 38737701 47346079 53572689 65477731 142038237 196433193 426114711 520806869 575476189 589299579 720255041 1562420607 1726428567 2160765123 4687261821 5179285701 6330238079 6482295369 18990714237 56972142711 69632618869 121425475879 208897856607 364276427637 626693569821 1092829282911 1335680234669 4007040704007 12021122112021 14692482581359 44077447744077 132232343232231