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15181168001 is a prime number
BaseRepresentation
bin11100010001101111…
…00011110110000001
31110012000001020110112
432020313203312001
5222042334334001
610550225041105
71045126541006
oct161067436601
943160036415
1015181168001
11649041223a
122b38186195
13157c23b75c
14a403038ad
155dcb9dcbb
hex388de3d81

15181168001 has 2 divisors, whose sum is σ = 15181168002. Its totient is φ = 15181168000.

The previous prime is 15181167997. The next prime is 15181168003. The reversal of 15181168001 is 10086118151.

15181168001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15147701776 + 33466225 = 123076^2 + 5785^2 .

It is a cyclic number.

It is not a de Polignac number, because 15181168001 - 22 = 15181167997 is a prime.

Together with 15181168003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (15181168003) 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, 7590584000 + 7590584001.

It is an arithmetic number, because the mean of its divisors is an integer number (7590584001).

Almost surely, 215181168001 is an apocalyptic number.

It is an amenable number.

15181168001 is a deficient number, since it is larger than the sum of its proper divisors (1).

15181168001 is an equidigital number, since it uses as much as digits as its factorization.

15181168001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 32.

The spelling of 15181168001 in words is "fifteen billion, one hundred eighty-one million, one hundred sixty-eight thousand, one".