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23133112129 is a prime number
BaseRepresentation
bin10101100010110101…
…110100011101000001
32012201012000212002201
4111202311310131001
5334334034042004
614343250513201
71446155131411
oct254265643501
965635025081
1023133112129
1198a1047596
124597295801
13224882733a
14119645c641
15905d556a4
hex562d74741

23133112129 has 2 divisors, whose sum is σ = 23133112130. Its totient is φ = 23133112128.

The previous prime is 23133112073. The next prime is 23133112157. The reversal of 23133112129 is 92121133132.

It is an a-pointer prime, because the next prime (23133112157) can be obtained adding 23133112129 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14196245904 + 8936866225 = 119148^2 + 94535^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133112129 - 213 = 23133103937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23133112097 and 23133112106.

It is not a weakly prime, because it can be changed into another prime (23133112169) 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, 11566556064 + 11566556065.

It is an arithmetic number, because the mean of its divisors is an integer number (11566556065).

Almost surely, 223133112129 is an apocalyptic number.

It is an amenable number.

23133112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133112129 is an equidigital number, since it uses as much as digits as its factorization.

23133112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 28.

The spelling of 23133112129 in words is "twenty-three billion, one hundred thirty-three million, one hundred twelve thousand, one hundred twenty-nine".