Search a number
-
+
330088313 is a prime number
BaseRepresentation
bin10011101011001…
…011111101111001
3212000010020001002
4103223023331321
51134000311223
652430534345
711115463412
oct2353137571
9760106032
10330088313
1115a365265
12926673b5
1353504039
1431ba6809
151dea3e28
hex13acbf79

330088313 has 2 divisors, whose sum is σ = 330088314. Its totient is φ = 330088312.

The previous prime is 330088289. The next prime is 330088321. The reversal of 330088313 is 313880033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301647424 + 28440889 = 17368^2 + 5333^2 .

It is an emirp because it is prime and its reverse (313880033) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330088313 is a prime.

It is not a weakly prime, because it can be changed into another prime (330088333) 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, 165044156 + 165044157.

It is an arithmetic number, because the mean of its divisors is an integer number (165044157).

Almost surely, 2330088313 is an apocalyptic number.

It is an amenable number.

330088313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330088313 is an equidigital number, since it uses as much as digits as its factorization.

330088313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 330088313 is about 18168.3326973060. The cubic root of 330088313 is about 691.1039619683.

The spelling of 330088313 in words is "three hundred thirty million, eighty-eight thousand, three hundred thirteen".