Search a number
-
+
30313331309 is a prime number
BaseRepresentation
bin11100001110110100…
…001011101001101101
32220020120212210010102
4130032310023221231
5444040203100214
621531543520445
72122123031132
oct341664135155
986216783112
1030313331309
11119460a3528
125a5ba59125
132b2127cb41
141677ccc589
15bc63bcbde
hex70ed0ba6d

30313331309 has 2 divisors, whose sum is σ = 30313331310. Its totient is φ = 30313331308.

The previous prime is 30313331287. The next prime is 30313331317. The reversal of 30313331309 is 90313331303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30129322084 + 184009225 = 173578^2 + 13565^2 .

It is a cyclic number.

It is not a de Polignac number, because 30313331309 - 28 = 30313331053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30313331809) 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, 15156665654 + 15156665655.

It is an arithmetic number, because the mean of its divisors is an integer number (15156665655).

Almost surely, 230313331309 is an apocalyptic number.

It is an amenable number.

30313331309 is a deficient number, since it is larger than the sum of its proper divisors (1).

30313331309 is an equidigital number, since it uses as much as digits as its factorization.

30313331309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 29.

The spelling of 30313331309 in words is "thirty billion, three hundred thirteen million, three hundred thirty-one thousand, three hundred nine".