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23046772129 is a prime number
BaseRepresentation
bin10101011101101100…
…011101010110100001
32012111011120022212221
4111131230131112201
5334144433202004
614330524151041
71444056221323
oct253554352641
965434508787
1023046772129
119857336017
124572398481
132233987294
141188bc5613
158ed49d354
hex55db1d5a1

23046772129 has 2 divisors, whose sum is σ = 23046772130. Its totient is φ = 23046772128.

The previous prime is 23046772103. The next prime is 23046772219. The reversal of 23046772129 is 92127764032.

Together with next prime (23046772219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15757027729 + 7289744400 = 125527^2 + 85380^2 .

It is a cyclic number.

It is not a de Polignac number, because 23046772129 - 223 = 23038383521 is a prime.

It is not a weakly prime, because it can be changed into another prime (23046772429) 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, 11523386064 + 11523386065.

It is an arithmetic number, because the mean of its divisors is an integer number (11523386065).

Almost surely, 223046772129 is an apocalyptic number.

It is an amenable number.

23046772129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23046772129 is an equidigital number, since it uses as much as digits as its factorization.

23046772129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 23046772129 in words is "twenty-three billion, forty-six million, seven hundred seventy-two thousand, one hundred twenty-nine".