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132321122214201 = 32142601103101289
BaseRepresentation
bin11110000101100001101001…
…011111000110000100111001
3122100111202221111221211012200
4132011201221133012010321
5114320422124241323301
61145231252342300413
736604612522042464
oct3605415137060471
9570452844854180
10132321122214201
1139186088981488
1212a10878127709
1358aaa9c98094b
14249653b1182db
151046e99273c86
hex7858697c6139

132321122214201 has 12 divisors (see below), whose sum is σ = 191131852035540. Its totient is φ = 88213462012800.

The previous prime is 132321122214119. The next prime is 132321122214221. The reversal of 132321122214201 is 102412221123231.

132321122214201 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 1 + 12 + 221 + 420 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123408747884601 + 8912374329600 = 11108949^2 + 2985360^2 .

It is not a de Polignac number, because 132321122214201 - 215 = 132321122181433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132321122214221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50267236 + ... + 52834053.

It is an arithmetic number, because the mean of its divisors is an integer number (15927654336295).

Almost surely, 2132321122214201 is an apocalyptic number.

It is an amenable number.

132321122214201 is a deficient number, since it is larger than the sum of its proper divisors (58810729821339).

132321122214201 is a wasteful number, since it uses less digits than its factorization.

132321122214201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103243896 (or 103243893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132321122214201 its reverse (102412221123231), we get a palindrome (234733343337432).

The spelling of 132321122214201 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred twenty-two million, two hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 142601 427803 1283409 103101289 309303867 927911601 14702346912689 44107040738067 132321122214201