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13122312089 is a prime number
BaseRepresentation
bin11000011100010011…
…01001011110011001
31020212111221112002212
430032021221132121
5203333302441324
610010040404505
7643116545435
oct141611513631
936774845085
1013122312089
115624226327
122662776735
131311828113
148c6ac79c5
1551c06270e
hex30e269799

13122312089 has 2 divisors, whose sum is σ = 13122312090. Its totient is φ = 13122312088.

The previous prime is 13122312067. The next prime is 13122312179. The reversal of 13122312089 is 98021322131.

13122312089 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., 13086216025 + 36096064 = 114395^2 + 6008^2 .

It is an emirp because it is prime and its reverse (98021322131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13122312089 - 224 = 13105534873 is a prime.

It is a super-2 number, since 2×131223120892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13122314089) 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, 6561156044 + 6561156045.

It is an arithmetic number, because the mean of its divisors is an integer number (6561156045).

Almost surely, 213122312089 is an apocalyptic number.

It is an amenable number.

13122312089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122312089 is an equidigital number, since it uses as much as digits as its factorization.

13122312089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 13122312089 in words is "thirteen billion, one hundred twenty-two million, three hundred twelve thousand, eighty-nine".