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72102578131 is a prime number
BaseRepresentation
bin100001100100110100…
…1100000011111010011
320220002221201110211201
41003021221200133103
52140131230000011
653042400252031
75131524542023
oct1031151403723
9226087643751
1072102578131
1128640031151
1211b83011017
136a50c28b1c
1436bdd73a83
151d1eed6cc1
hex10c9a607d3

72102578131 has 2 divisors, whose sum is σ = 72102578132. Its totient is φ = 72102578130.

The previous prime is 72102578111. The next prime is 72102578143. The reversal of 72102578131 is 13187520127.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72102578131 - 213 = 72102569939 is a prime.

It is a super-2 number, since 2×721025781312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72102578111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36051289065 + 36051289066.

It is an arithmetic number, because the mean of its divisors is an integer number (36051289066).

Almost surely, 272102578131 is an apocalyptic number.

72102578131 is a deficient number, since it is larger than the sum of its proper divisors (1).

72102578131 is an equidigital number, since it uses as much as digits as its factorization.

72102578131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 72102578131 in words is "seventy-two billion, one hundred two million, five hundred seventy-eight thousand, one hundred thirty-one".