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23002013129 is a prime number
BaseRepresentation
bin10101011011000001…
…101101110111001001
32012101001100100002012
4111123001231313021
5334102003410004
614322244545305
71443003612524
oct253301556711
965331310065
1023002013129
119834044a07
12455b3b2235
132227615574
141182c93bbb
158e95ab46e
hex55b06ddc9

23002013129 has 2 divisors, whose sum is σ = 23002013130. Its totient is φ = 23002013128.

The previous prime is 23002013107. The next prime is 23002013137. The reversal of 23002013129 is 92131020032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14345571529 + 8656441600 = 119773^2 + 93040^2 .

It is a cyclic number.

It is not a de Polignac number, because 23002013129 - 212 = 23002009033 is a prime.

It is not a weakly prime, because it can be changed into another prime (23002013189) 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, 11501006564 + 11501006565.

It is an arithmetic number, because the mean of its divisors is an integer number (11501006565).

Almost surely, 223002013129 is an apocalyptic number.

It is an amenable number.

23002013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23002013129 is an equidigital number, since it uses as much as digits as its factorization.

23002013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 23002013129 in words is "twenty-three billion, two million, thirteen thousand, one hundred twenty-nine".