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10123001129 is a prime number
BaseRepresentation
bin10010110110110000…
…01011110100101001
3222010111012201221202
421123120023310221
5131212442014004
64352255013545
7505600042553
oct113330136451
928114181852
1010123001129
11432519663a
121b6620a2b5
13c543253c7
146c06204d3
153e3aa7b1e
hex25b60bd29

10123001129 has 2 divisors, whose sum is σ = 10123001130. Its totient is φ = 10123001128.

The previous prime is 10123001117. The next prime is 10123001143. The reversal of 10123001129 is 92110032101.

10123001129 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., 5502672400 + 4620328729 = 74180^2 + 67973^2 .

It is an emirp because it is prime and its reverse (92110032101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123001129 - 216 = 10122935593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123001129.

It is not a weakly prime, because it can be changed into another prime (10123001149) 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, 5061500564 + 5061500565.

It is an arithmetic number, because the mean of its divisors is an integer number (5061500565).

Almost surely, 210123001129 is an apocalyptic number.

It is an amenable number.

10123001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123001129 is an equidigital number, since it uses as much as digits as its factorization.

10123001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10123001129 in words is "ten billion, one hundred twenty-three million, one thousand, one hundred twenty-nine".