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132371915013 = 3513412294463
BaseRepresentation
bin111101101000111111…
…0110010000100000101
3110122200020010000100000
41323101332302010011
54132044202240023
6140451045311513
712364204466322
oct1732176620405
9418606100300
10132371915013
1151158549a78
12217a3105599
13c637409040
14659a4d7b49
15369b1dd243
hex1ed1fb2105

132371915013 has 96 divisors (see below), whose sum is σ = 219750935040. Its totient is φ = 79108047360.

The previous prime is 132371914979. The next prime is 132371915057. The reversal of 132371915013 is 310519173231.

It is a happy number.

132371915013 is a `hidden beast` number, since 1 + 32 + 37 + 1 + 91 + 501 + 3 = 666.

It is not a de Polignac number, because 132371915013 - 217 = 132371783941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132371915813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29657620 + ... + 29662082.

It is an arithmetic number, because the mean of its divisors is an integer number (2289072240).

Almost surely, 2132371915013 is an apocalyptic number.

132371915013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132371915013 is a deficient number, since it is larger than the sum of its proper divisors (87379020027).

132371915013 is a wasteful number, since it uses less digits than its factorization.

132371915013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 132371915013 in words is "one hundred thirty-two billion, three hundred seventy-one million, nine hundred fifteen thousand, thirteen".

Divisors: 1 3 9 13 27 39 41 81 117 123 229 243 351 369 533 687 1053 1107 1599 2061 2977 3159 3321 4463 4797 6183 8931 9389 9963 13389 14391 18549 26793 28167 40167 43173 55647 58019 80379 84501 120501 122057 129519 174057 182983 241137 253503 361503 366171 522171 548949 723411 760509 1022027 1084509 1098513 1566513 1646847 2281527 2378779 3066081 3295539 4699539 4940541 7136337 9198243 9886617 13286351 14098617 14821623 21409011 27594729 29659851 39859053 41903107 44464869 64227033 82784187 119577159 125709321 192681099 248352561 358731477 377127963 544740391 578043297 1076194431 1131383889 1634221173 3228583293 3394151667 4902663519 10182455001 14707990557 44123971671 132371915013