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330111230332313 is a prime number
BaseRepresentation
bin100101100001111000000001…
…0100111101100110110011001
31121021211022210020010200100202
41023003300002213230312121
5321232020244431113223
63130031001115311545
7126350515011326363
oct11303600247546631
91537738706120322
10330111230332313
11962024285a4551
123103592714b5b5
1311227480bc5741
145b7367c54dd33
152826e3d75d428
hex12c3c029ecd99

330111230332313 has 2 divisors, whose sum is σ = 330111230332314. Its totient is φ = 330111230332312.

The previous prime is 330111230332231. The next prime is 330111230332337. The reversal of 330111230332313 is 313233032111033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172532743469584 + 157578486862729 = 13135172^2 + 12553027^2 .

It is a cyclic number.

It is not a de Polignac number, because 330111230332313 - 214 = 330111230315929 is a prime.

It is a super-3 number, since 3×3301112303323133 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (330111230332813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165055615166156 + 165055615166157.

It is an arithmetic number, because the mean of its divisors is an integer number (165055615166157).

Almost surely, 2330111230332313 is an apocalyptic number.

It is an amenable number.

330111230332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330111230332313 is an equidigital number, since it uses as much as digits as its factorization.

330111230332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 330111230332313 its reverse (313233032111033), we get a palindrome (643344262443346).

The spelling of 330111230332313 in words is "three hundred thirty trillion, one hundred eleven billion, two hundred thirty million, three hundred thirty-two thousand, three hundred thirteen".