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300313302211009 is a prime number
BaseRepresentation
bin100010001001000100010001…
…1101100110001100111000001
31110101022200010101022221122001
41010102020203230301213001
5303330313120331223014
62542414005413544001
7120153630405355633
oct10422104354614701
91411280111287561
10300313302211009
1187764179a4583a
1229822891345001
13cb755660c86a9
1454233544d0a53
1524abc88c68974
hex1112223b319c1

300313302211009 has 2 divisors, whose sum is σ = 300313302211010. Its totient is φ = 300313302211008.

The previous prime is 300313302210991. The next prime is 300313302211051. The reversal of 300313302211009 is 900112203313003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280503040650625 + 19810261560384 = 16748225^2 + 4450872^2 .

It is a cyclic number.

It is not a de Polignac number, because 300313302211009 - 27 = 300313302210881 is a prime.

It is not a weakly prime, because it can be changed into another prime (300313302241009) 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, 150156651105504 + 150156651105505.

It is an arithmetic number, because the mean of its divisors is an integer number (150156651105505).

Almost surely, 2300313302211009 is an apocalyptic number.

It is an amenable number.

300313302211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

300313302211009 is an equidigital number, since it uses as much as digits as its factorization.

300313302211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 300313302211009 in words is "three hundred trillion, three hundred thirteen billion, three hundred two million, two hundred eleven thousand, nine".