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132131301301032 = 2331117107275149727
BaseRepresentation
bin11110000010110000110111…
…010001110001101100101000
3122022211121222120102022210020
4132002300313101301230220
5114304314401113113112
61145004140513320440
736555112551643455
oct3602606721615450
9568747876368706
10132131301301032
113911262aa23940
121299bb21566120
135895c0b493297
14248b290c9682c
15104208978548c
hex782c37471b28

132131301301032 has 128 divisors (see below), whose sum is σ = 385121571287040. Its totient is φ = 37332314823680.

The previous prime is 132131301301019. The next prime is 132131301301057. The reversal of 132131301301032 is 230103103131231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132131301300993 and 132131301301011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137094648 + ... + 138055079.

It is an arithmetic number, because the mean of its divisors is an integer number (3008762275680).

Almost surely, 2132131301301032 is an apocalyptic number.

132131301301032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132131301301032 is an abundant number, since it is smaller than the sum of its proper divisors (252990269986008).

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

132131301301032 is a wasteful number, since it uses less digits than its factorization.

132131301301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275149871 (or 275149867 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132131301301032 its reverse (230103103131231), we get a palindrome (362234404432263).

The spelling of 132131301301032 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, three hundred one million, three hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 107 132 136 187 204 214 264 321 374 408 428 561 642 748 856 1122 1177 1284 1496 1819 2244 2354 2568 3531 3638 4488 4708 5457 7062 7276 9416 10914 14124 14552 20009 21828 28248 40018 43656 60027 80036 120054 160072 240108 480216 275149727 550299454 825449181 1100598908 1650898362 2201197816 3026646997 3301796724 4677545359 6053293994 6603593448 9079940991 9355090718 12106587988 14032636077 18159881982 18710181436 24213175976 28065272154 29441020789 36319763964 37420362872 51452998949 56130544308 58882041578 72639527928 88323062367 102905997898 112261088616 117764083156 154358996847 176646124734 205811995796 235528166312 308717993694 323851228679 353292249468 411623991592 500497353413 617435987388 647702457358 706584498936 971553686037 1000994706826 1234871974776 1295404914716 1501492060239 1943107372074 2001989413652 2590809829432 3002984120478 3886214744148 4003978827304 5505470887543 6005968240956 7772429488296 11010941775086 12011936481912 16516412662629 22021883550172 33032825325258 44043767100344 66065650650516 132131301301032