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330130332333313 is a prime number
BaseRepresentation
bin100101100010000000111010…
…1001100000011010100000001
31121021220011002110220212120021
41023010001311030003110001
5321232323410034131223
63130043440405413441
7126352062250550401
oct11304016514032401
91537804073825507
10330130332333313
119620a540138636
123103957840a281
1311229206527705
145b7457147a801
1528276aa74565d
hex12c4075303501

330130332333313 has 2 divisors, whose sum is σ = 330130332333314. Its totient is φ = 330130332333312.

The previous prime is 330130332333301. The next prime is 330130332333401. The reversal of 330130332333313 is 313333233031033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263879979050689 + 66250353282624 = 16244383^2 + 8139432^2 .

It is a cyclic number.

It is not a de Polignac number, because 330130332333313 - 213 = 330130332325121 is a prime.

It is not a weakly prime, because it can be changed into another prime (330130332333713) 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, 165065166166656 + 165065166166657.

It is an arithmetic number, because the mean of its divisors is an integer number (165065166166657).

Almost surely, 2330130332333313 is an apocalyptic number.

It is an amenable number.

330130332333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330130332333313 is an equidigital number, since it uses as much as digits as its factorization.

330130332333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 34.

Adding to 330130332333313 its reverse (313333233031033), we get a palindrome (643463565364346).

The spelling of 330130332333313 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred thirteen".