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132334115201001 = 33716738920035381
BaseRepresentation
bin11110000101101101101111…
…111011011001111111101001
3122100120000111000112221101000
4132011231233323121333221
5114321130231442413001
61145241241523145213
736605552511440460
oct3605555773317751
9570500430487330
10132334115201001
11391906460a67aa
1212a132a3515209
1358ac09076840c
1424970109799d7
1510474a9c8ca86
hex785b6fed9fe9

132334115201001 has 128 divisors (see below), whose sum is σ = 226133694259200. Its totient is φ = 74922095888640.

The previous prime is 132334115200999. The next prime is 132334115201017. The reversal of 132334115201001 is 100102511433231.

132334115201001 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 34 + 1 + 1 + 520 + 100 + 1 = 666.

It is not a de Polignac number, because 132334115201001 - 21 = 132334115200999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132334115201021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24592845331 + ... + 24592850711.

It is an arithmetic number, because the mean of its divisors is an integer number (1766669486400).

Almost surely, 2132334115201001 is an apocalyptic number.

It is an amenable number.

132334115201001 is a deficient number, since it is larger than the sum of its proper divisors (93799579058199).

132334115201001 is a wasteful number, since it uses less digits than its factorization.

132334115201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 132334115201001 its reverse (100102511433231), we get a palindrome (232436626634232).

The spelling of 132334115201001 in words is "one hundred thirty-two trillion, three hundred thirty-four billion, one hundred fifteen million, two hundred one thousand, one".

Divisors: 1 3 7 9 21 27 63 167 189 389 501 1167 1169 1503 2003 2723 3501 3507 4509 5381 6009 8169 10503 10521 14021 16143 18027 24507 31563 37667 42063 48429 54081 64963 73521 113001 126189 145287 194889 334501 339003 378567 454741 584667 779167 898627 1003503 1017009 1364223 1754001 2093209 2337501 2341507 2695881 3010509 4092669 5454169 6279627 6290389 7012503 7024521 8087643 9031527 10778143 12278007 14652463 16362507 18838881 18871167 21037509 21073563 24262929 32334429 43957389 49087521 56516643 56613501 63220689 75447001 97003287 130120889 131872167 147262563 169840503 226341003 291009861 349565903 390362667 395616501 679023009 910846223 1048697709 1171088001 1799949881 2037069027 2446961321 2732538669 3146093127 3513264003 4192697627 5399849643 7340883963 8197616007 9438279381 12578092881 12599649167 16199548929 22022651889 24592848021 29348883389 37734278643 37798947501 48598646787 66067955667 88046650167 113202835929 113396842503 264139950501 340190527509 700180503709 792419851503 2100541511127 4901263525963 6301624533381 14703790577889 18904873600143 44111371733667 132334115201001