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132100401314001 = 31319151124479029
BaseRepresentation
bin11110000010010100000101…
…011111101011100011010001
3122022201200020002122100022010
4132002110011133223203101
5114303313110214022001
61144542030411333133
736552640043251641
oct3602240537534321
9568650202570263
10132100401314001
113910051376727a
1212995b391511a9
13589302580a6a3
14248999d0d6521
15104137bb338d6
hex7825057eb8d1

132100401314001 has 32 divisors (see below), whose sum is σ = 176475685478400. Its totient is φ = 87896251935680.

The previous prime is 132100401313957. The next prime is 132100401314029. The reversal of 132100401314001 is 100413104001231.

It is a cyclic number.

It is not a de Polignac number, because 132100401314001 - 27 = 132100401313873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132100401314201) 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 31 ways as a sum of consecutive naturals, for example, 14630674555 + ... + 14630683583.

It is an arithmetic number, because the mean of its divisors is an integer number (5514865171200).

Almost surely, 2132100401314001 is an apocalyptic number.

It is an amenable number.

132100401314001 is a deficient number, since it is larger than the sum of its proper divisors (44375284164399).

132100401314001 is a wasteful number, since it uses less digits than its factorization.

132100401314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132100401314001 its reverse (100413104001231), we get a palindrome (232513505315232).

The spelling of 132100401314001 in words is "one hundred thirty-two trillion, one hundred billion, four hundred one million, three hundred fourteen thousand, one".

Divisors: 1 3 1319 1511 2447 3957 4533 7341 9029 27087 1993009 3227593 3697417 5979027 9682779 11092251 11909251 13642819 22093963 35727753 40928457 66281889 4876893023 14630679069 17994878261 29141937197 33383978093 53984634783 87425811591 100151934279 44033467104667 132100401314001