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10030013129 is a prime number
BaseRepresentation
bin10010101011101010…
…11101101011001001
3221220000020110101202
421111311131223021
5131020140410004
64335133553545
7503360463533
oct112565355311
927800213352
1010030013129
114287754354
121b3b0458b5
13c3ac98416
146b2136853
153da83ab1e
hex255d5dac9

10030013129 has 2 divisors, whose sum is σ = 10030013130. Its totient is φ = 10030013128.

The previous prime is 10030013111. The next prime is 10030013131. The reversal of 10030013129 is 92131003001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9751957504 + 278055625 = 98752^2 + 16675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10030013129 - 220 = 10028964553 is a prime.

Together with 10030013131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10030013129.

It is not a weakly prime, because it can be changed into another prime (10030063129) 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, 5015006564 + 5015006565.

It is an arithmetic number, because the mean of its divisors is an integer number (5015006565).

Almost surely, 210030013129 is an apocalyptic number.

It is an amenable number.

10030013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10030013129 is an equidigital number, since it uses as much as digits as its factorization.

10030013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10030013129 in words is "ten billion, thirty million, thirteen thousand, one hundred twenty-nine".