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34010122129 is a prime number
BaseRepresentation
bin11111101011001010…
…010100011110010001
310020210020001012202221
4133223022110132101
51024123042402004
623342442541041
72312542161004
oct375312243621
9106706035687
1034010122129
1113472911155
126711b07781
13329011bb29
141908c7553b
15d40bed354
hex7eb294791

34010122129 has 2 divisors, whose sum is σ = 34010122130. Its totient is φ = 34010122128.

The previous prime is 34010122127. The next prime is 34010122213. The reversal of 34010122129 is 92122101043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19405883025 + 14604239104 = 139305^2 + 120848^2 .

It is a cyclic number.

It is not a de Polignac number, because 34010122129 - 21 = 34010122127 is a prime.

Together with 34010122127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34010122127) 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, 17005061064 + 17005061065.

It is an arithmetic number, because the mean of its divisors is an integer number (17005061065).

Almost surely, 234010122129 is an apocalyptic number.

It is an amenable number.

34010122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010122129 is an equidigital number, since it uses as much as digits as its factorization.

34010122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 34010122129 in words is "thirty-four billion, ten million, one hundred twenty-two thousand, one hundred twenty-nine".