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132312322410201 = 33611071873400853
BaseRepresentation
bin11110000101011001011100…
…111110100000011011011001
3122100110221020020120110111000
4132011121130332200123121
5114320301114014111301
61145223235232055213
736604151456663313
oct3605313476403331
9570427206513430
10132312322410201
113918238269749a
1212a0b021094509
1358a9cc9825c2b
142495d445367b3
151046b3193e786
hex78565cfa06d9

132312322410201 has 64 divisors (see below), whose sum is σ = 201201514064640. Its totient is φ = 85905213189120.

The previous prime is 132312322410143. The next prime is 132312322410221. The reversal of 132312322410201 is 102014223213231.

132312322410201 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 23 + 22 + 410 + 201 = 666.

It is not a de Polignac number, because 132312322410201 - 26 = 132312322410137 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 (132312322410221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329876491 + ... + 330277343.

It is an arithmetic number, because the mean of its divisors is an integer number (3143773657260).

Almost surely, 2132312322410201 is an apocalyptic number.

It is an amenable number.

132312322410201 is a deficient number, since it is larger than the sum of its proper divisors (68889191654439).

132312322410201 is a wasteful number, since it uses less digits than its factorization.

132312322410201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402903 (or 402897 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132312322410201 its reverse (102014223213231), we get a palindrome (234326545623432).

The spelling of 132312322410201 in words is "one hundred thirty-two trillion, three hundred twelve billion, three hundred twenty-two million, four hundred ten thousand, two hundred one".

Divisors: 1 3 9 27 61 107 183 321 549 963 1647 1873 2889 5619 6527 16857 19581 50571 58743 114253 176229 200411 342759 400853 601233 1028277 1202559 1803699 3084831 3607677 5411097 10823031 12225071 24452033 36675213 42891271 73356099 110025639 128673813 220068297 330076917 386021439 660204891 750797669 1158064317 2252393007 2616367531 6757179021 7849102593 20271537063 23547307779 45798657809 70641923337 80335350583 137395973427 241006051749 412187920281 723018155247 1236563760843 2169054465741 4900456385563 14701369156689 44104107470067 132312322410201