Search a number
-
+
11730307681 is a prime number
BaseRepresentation
bin10101110110010111…
…00100101001100001
31010021111122101001001
422323023210221201
5143010424321211
65215553112001
7563454653521
oct127313445141
933244571031
1011730307681
114a7a4a8864
122334558601
13114c318a81
147d3c97681
15489c4bac1
hex2bb2e4a61

11730307681 has 2 divisors, whose sum is σ = 11730307682. Its totient is φ = 11730307680.

The previous prime is 11730307657. The next prime is 11730307703. The reversal of 11730307681 is 18670303711.

It is a happy number.

11730307681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8865917281 + 2864390400 = 94159^2 + 53520^2 .

It is a cyclic number.

It is not a de Polignac number, because 11730307681 - 217 = 11730176609 is a prime.

It is a super-2 number, since 2×117303076812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11730307681.

It is not a weakly prime, because it can be changed into another prime (11730307781) 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, 5865153840 + 5865153841.

It is an arithmetic number, because the mean of its divisors is an integer number (5865153841).

Almost surely, 211730307681 is an apocalyptic number.

It is an amenable number.

11730307681 is a deficient number, since it is larger than the sum of its proper divisors (1).

11730307681 is an equidigital number, since it uses as much as digits as its factorization.

11730307681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 11730307681 in words is "eleven billion, seven hundred thirty million, three hundred seven thousand, six hundred eighty-one".