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10011314129 is a prime number
BaseRepresentation
bin10010101001011100…
…01000011111010001
3221211201001110012012
421110232020133101
5131000344023004
64333225112305
7503042523515
oct112456103721
927751043165
1010011314129
114278142533
121b34928695
13c3714c21b
146ad86a145
153d8d9546e
hex254b887d1

10011314129 has 2 divisors, whose sum is σ = 10011314130. Its totient is φ = 10011314128.

The previous prime is 10011314123. The next prime is 10011314147. The reversal of 10011314129 is 92141311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7115259904 + 2896054225 = 84352^2 + 53815^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011314129 - 220 = 10010265553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10011314123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005657064 + 5005657065.

It is an arithmetic number, because the mean of its divisors is an integer number (5005657065).

Almost surely, 210011314129 is an apocalyptic number.

It is an amenable number.

10011314129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011314129 is an equidigital number, since it uses as much as digits as its factorization.

10011314129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10011314129 in words is "ten billion, eleven million, three hundred fourteen thousand, one hundred twenty-nine".