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23144061257 is a prime number
BaseRepresentation
bin10101100011011111…
…100101100101001001
32012201221122010110222
4111203133211211021
5334344334430012
614344321315425
71446350163152
oct254337454511
965657563428
1023144061257
1198a7245859
12459aa95b75
13224ab8bc05
141197aac929
15906cb9972
hex5637e5949

23144061257 has 2 divisors, whose sum is σ = 23144061258. Its totient is φ = 23144061256.

The previous prime is 23144061229. The next prime is 23144061263. The reversal of 23144061257 is 75216044132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15594015376 + 7550045881 = 124876^2 + 86891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23144061257 is a prime.

It is not a weakly prime, because it can be changed into another prime (23144061217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11572030628 + 11572030629.

It is an arithmetic number, because the mean of its divisors is an integer number (11572030629).

Almost surely, 223144061257 is an apocalyptic number.

It is an amenable number.

23144061257 is a deficient number, since it is larger than the sum of its proper divisors (1).

23144061257 is an equidigital number, since it uses as much as digits as its factorization.

23144061257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 23144061257 in words is "twenty-three billion, one hundred forty-four million, sixty-one thousand, two hundred fifty-seven".