Search a number
-
+
331816313 is a prime number
BaseRepresentation
bin10011110001110…
…001110101111001
3212010101000102002
4103301301311321
51134421110223
652531550345
711136251333
oct2361616571
9763330362
10331816313
11160335564
129315b3b5
135398a71a
14320d6453
151e1e5e28
hex13c71d79

331816313 has 2 divisors, whose sum is σ = 331816314. Its totient is φ = 331816312.

The previous prime is 331816301. The next prime is 331816349. The reversal of 331816313 is 313618133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241243024 + 90573289 = 15532^2 + 9517^2 .

It is a cyclic number.

It is not a de Polignac number, because 331816313 - 216 = 331750777 is a prime.

It is a super-2 number, since 2×3318163132 = 220204131145827938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331816363) 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, 165908156 + 165908157.

It is an arithmetic number, because the mean of its divisors is an integer number (165908157).

Almost surely, 2331816313 is an apocalyptic number.

It is an amenable number.

331816313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331816313 is an equidigital number, since it uses as much as digits as its factorization.

331816313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 331816313 is about 18215.8258939857. The cubic root of 331816313 is about 692.3078314849.

The spelling of 331816313 in words is "three hundred thirty-one million, eight hundred sixteen thousand, three hundred thirteen".