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132321032004321 = 3340169491758727
BaseRepresentation
bin11110000101100001100100…
…000110111110001011100001
3122100111202201020012200112000
4132011201210012332023201
5114320421433143114241
61145231235400554213
736604610345214066
oct3605414406761341
9570452636180460
10132321032004321
1139186041a67466
1212a10851a82969
1358aaa87087314
14249652d154c6d
151046e913a4eb6
hex7858641be2e1

132321032004321 has 32 divisors (see below), whose sum is σ = 196548406368000. Its totient is φ = 87981323385600.

The previous prime is 132321032004311. The next prime is 132321032004323. The reversal of 132321032004321 is 123400230123231.

132321032004321 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 10 + 320 + 0 + 4 + 321 = 666.

It is not a de Polignac number, because 132321032004321 - 26 = 132321032004257 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132321032004323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74357460 + ... + 76116186.

It is an arithmetic number, because the mean of its divisors is an integer number (6142137699000).

Almost surely, 2132321032004321 is an apocalyptic number.

It is an amenable number.

132321032004321 is a deficient number, since it is larger than the sum of its proper divisors (64227374363679).

132321032004321 is a wasteful number, since it uses less digits than its factorization.

132321032004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766086 (or 1766080 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132321032004321 its reverse (123400230123231), we get a palindrome (255721262127552).

The spelling of 132321032004321 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, thirty-two million, four thousand, three hundred twenty-one".

Divisors: 1 3 9 27 401 1203 3609 6949 10827 20847 62541 187623 1758727 2786549 5276181 8359647 15828543 25078941 47485629 75236823 705249527 2115748581 6347245743 12221393923 19041737229 36664181769 109992545307 329977635921 4900778963123 14702336889369 44107010668107 132321032004321