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132432001022232 = 233223937920305951
BaseRepresentation
bin11110000111001000111010…
…011000001011100100011000
3122100220101010211222212120100
4132013020322120023210120
5114324231214230202412
61145354231004055400
736615616304256462
oct3607107230134430
9570811124885510
10132432001022232
113921910709a01a
1212a2a261234560
1358b83902643b2
14249ba58cdd132
151049cd85adedc
hex78723a60b918

132432001022232 has 96 divisors (see below), whose sum is σ = 361121050368000. Its totient is φ = 43843307659200.

The previous prime is 132432001022231. The next prime is 132432001022341. The reversal of 132432001022232 is 232220100234231.

132432001022232 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 320 + 0 + 102 + 2 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132432001022196 and 132432001022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132432001022231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631144 + ... + 16674807.

It is an arithmetic number, because the mean of its divisors is an integer number (3761677608000).

Almost surely, 2132432001022232 is an apocalyptic number.

132432001022232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132432001022232 is an abundant number, since it is smaller than the sum of its proper divisors (228689049345768).

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

132432001022232 is a wasteful number, since it uses less digits than its factorization.

132432001022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20306581 (or 20306574 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132432001022232 its reverse (232220100234231), we get a palindrome (364652101256463).

The spelling of 132432001022232 in words is "one hundred thirty-two trillion, four hundred thirty-two billion, one million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 239 379 478 717 758 956 1137 1434 1516 1912 2151 2274 2868 3032 3411 4302 4548 5736 6822 8604 9096 13644 17208 27288 90581 181162 271743 362324 543486 724648 815229 1086972 1630458 2173944 3260916 6521832 20305951 40611902 60917853 81223804 121835706 162447608 182753559 243671412 365507118 487342824 731014236 1462028472 4853122289 7695955429 9706244578 14559366867 15391910858 19412489156 23087866287 29118733734 30783821716 38824978312 43678100601 46175732574 58237467468 61567643432 69263598861 87356201202 92351465148 116474934936 138527197722 174712402404 184702930296 277054395444 349424804808 554108790888 1839333347531 3678666695062 5518000042593 7357333390124 11036000085186 14714666780248 16554000127779 22072000170372 33108000255558 44144000340744 66216000511116 132432001022232