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10140134129 is a prime number
BaseRepresentation
bin10010111000110011…
…00010101011110001
3222011200110012000022
421130121202223301
5131231333243004
64354110133225
7506165501156
oct113431425361
928150405008
1010140134129
114333928944
121b6bab1215
13c57a43888
146c2a0022d
153e533e2be
hex25c662af1

10140134129 has 2 divisors, whose sum is σ = 10140134130. Its totient is φ = 10140134128.

The previous prime is 10140134117. The next prime is 10140134167. The reversal of 10140134129 is 92143104101.

It is a happy number.

10140134129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10035030625 + 105103504 = 100175^2 + 10252^2 .

It is an emirp because it is prime and its reverse (92143104101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10140134129 - 28 = 10140133873 is a prime.

It is a super-2 number, since 2×101401341292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10140134098 and 10140134107.

It is not a weakly prime, because it can be changed into another prime (10140134029) 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, 5070067064 + 5070067065.

It is an arithmetic number, because the mean of its divisors is an integer number (5070067065).

Almost surely, 210140134129 is an apocalyptic number.

It is an amenable number.

10140134129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140134129 is an equidigital number, since it uses as much as digits as its factorization.

10140134129 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 26.

The spelling of 10140134129 in words is "ten billion, one hundred forty million, one hundred thirty-four thousand, one hundred twenty-nine".