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13022000129 is a prime number
BaseRepresentation
bin11000010000010101…
…11111010000000001
31020121112012010222002
430020022333100001
5203132113001004
65552054353345
7640461113645
oct141012772001
936545163862
1013022000129
115582641486
12263505b855
1312c6b05628
148b7654c25
1551334a61e
hex3082bf401

13022000129 has 2 divisors, whose sum is σ = 13022000130. Its totient is φ = 13022000128.

The previous prime is 13022000087. The next prime is 13022000141. The reversal of 13022000129 is 92100022031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8125219600 + 4896780529 = 90140^2 + 69977^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022000129 - 212 = 13021996033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13022000129.

It is not a weakly prime, because it can be changed into another prime (13022000149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511000064 + 6511000065.

It is an arithmetic number, because the mean of its divisors is an integer number (6511000065).

Almost surely, 213022000129 is an apocalyptic number.

It is an amenable number.

13022000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022000129 is an equidigital number, since it uses as much as digits as its factorization.

13022000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 13022000129 in words is "thirteen billion, twenty-two million, one hundred twenty-nine", and thus it is an aban number.