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120427932001 = 1337250369921
BaseRepresentation
bin111000000101000010…
…0000110100101100001
3102111211211101210211211
41300022010012211201
53433114022311001
6131153540310121
711462213350366
oct1601204064541
9374754353754
10120427932001
1147089478833
121b40b0a2341
13b482a58580
145b860dc46d
1531ec835351
hex1c0a106961

120427932001 has 8 divisors (see below), whose sum is σ = 133196798504. Its totient is φ = 108159805440.

The previous prime is 120427931999. The next prime is 120427932011. The reversal of 120427932001 is 100239724021.

It can be written as a sum of positive squares in 4 ways, for example, as 49807526976 + 70620405025 = 223176^2 + 265745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120427932001 - 21 = 120427931999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120427932011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125184480 + ... + 125185441.

It is an arithmetic number, because the mean of its divisors is an integer number (16649599813).

Almost surely, 2120427932001 is an apocalyptic number.

It is an amenable number.

120427932001 is a deficient number, since it is larger than the sum of its proper divisors (12768866503).

120427932001 is a wasteful number, since it uses less digits than its factorization.

120427932001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250369971.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 120427932001 in words is "one hundred twenty billion, four hundred twenty-seven million, nine hundred thirty-two thousand, one".

Divisors: 1 13 37 481 250369921 3254808973 9263687077 120427932001