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103364364289 is a prime number
BaseRepresentation
bin110000001000011111…
…1110000100000000001
3100212210122021202102111
41200100333300200001
53143142234124124
6115252425015321
710316315412514
oct1402077604001
9325718252374
10103364364289
113a92254185a
1218048624541
139993839344
145007bd2d7b
152a4e7a3494
hex1810ff0801

103364364289 has 2 divisors, whose sum is σ = 103364364290. Its totient is φ = 103364364288.

The previous prime is 103364364277. The next prime is 103364364343. The reversal of 103364364289 is 982463463301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97403289025 + 5961075264 = 312095^2 + 77208^2 .

It is a cyclic number.

It is not a de Polignac number, because 103364364289 - 29 = 103364363777 is a prime.

It is not a weakly prime, because it can be changed into another prime (103364365289) 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, 51682182144 + 51682182145.

It is an arithmetic number, because the mean of its divisors is an integer number (51682182145).

Almost surely, 2103364364289 is an apocalyptic number.

It is an amenable number.

103364364289 is a deficient number, since it is larger than the sum of its proper divisors (1).

103364364289 is an equidigital number, since it uses as much as digits as its factorization.

103364364289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 103364364289 in words is "one hundred three billion, three hundred sixty-four million, three hundred sixty-four thousand, two hundred eighty-nine".