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330301444012049 is a prime number
BaseRepresentation
bin100101100011010000100110…
…0001111010011100000010001
31121022111111202112201210020002
41023012201030033103200101
5321243124324131341144
63130254215534455345
7126400330461042416
oct11306411417234021
91538444675653202
10330301444012049
1196276068227464
1231066771364555
131123c3a5891163
145b7c964a1210d
15282bd7298214e
hex12c684c3d3811

330301444012049 has 2 divisors, whose sum is σ = 330301444012050. Its totient is φ = 330301444012048.

The previous prime is 330301444012003. The next prime is 330301444012051. The reversal of 330301444012049 is 940210444103033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330277737867025 + 23706145024 = 18173545^2 + 153968^2 .

It is a cyclic number.

It is not a de Polignac number, because 330301444012049 - 220 = 330301442963473 is a prime.

It is a Sophie Germain prime.

Together with 330301444012051, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (330301444012849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165150722006024 + 165150722006025.

It is an arithmetic number, because the mean of its divisors is an integer number (165150722006025).

Almost surely, 2330301444012049 is an apocalyptic number.

It is an amenable number.

330301444012049 is a deficient number, since it is larger than the sum of its proper divisors (1).

330301444012049 is an equidigital number, since it uses as much as digits as its factorization.

330301444012049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 330301444012049 in words is "three hundred thirty trillion, three hundred one billion, four hundred forty-four million, twelve thousand, forty-nine".