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330313032131209 is a prime number
BaseRepresentation
bin100101100011010101111111…
…0111100011110001010001001
31121022112121200010211020021121
41023012223332330132022021
5321243322042211144314
63130303413452235241
7126401220601322401
oct11306537674361211
91538477603736247
10330313032131209
119627aa74438946
1231068a6616bb21
13112405015b46ba
145b7d343a55801
15282c2eee93d24
hex12c6afef1e289

330313032131209 has 2 divisors, whose sum is σ = 330313032131210. Its totient is φ = 330313032131208.

The previous prime is 330313032131207. The next prime is 330313032131239. The reversal of 330313032131209 is 902131230313033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278902024129600 + 51411008001609 = 16700360^2 + 7170147^2 .

It is a cyclic number.

It is not a de Polignac number, because 330313032131209 - 21 = 330313032131207 is a prime.

Together with 330313032131207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (330313032131207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156516065604 + 165156516065605.

It is an arithmetic number, because the mean of its divisors is an integer number (165156516065605).

Almost surely, 2330313032131209 is an apocalyptic number.

It is an amenable number.

330313032131209 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313032131209 is an equidigital number, since it uses as much as digits as its factorization.

330313032131209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 34.

The spelling of 330313032131209 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty-two million, one hundred thirty-one thousand, two hundred nine".