Search a number
-
+
12318916993 is a prime number
BaseRepresentation
bin10110111100100001…
…11100000110000001
31011210112012211012221
423132100330012001
5200212120320433
65354221051041
7614163031615
oct133620740601
934715184187
1012318916993
115251786739
1224796b6a81
131214256ac6
1484c117345
154c176972d
hex2de43c181

12318916993 has 2 divisors, whose sum is σ = 12318916994. Its totient is φ = 12318916992.

The previous prime is 12318916921. The next prime is 12318916997. The reversal of 12318916993 is 39961981321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9834093889 + 2484823104 = 99167^2 + 49848^2 .

It is a cyclic number.

It is not a de Polignac number, because 12318916993 - 213 = 12318908801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12318916993.

It is not a weakly prime, because it can be changed into another prime (12318916997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6159458496 + 6159458497.

It is an arithmetic number, because the mean of its divisors is an integer number (6159458497).

Almost surely, 212318916993 is an apocalyptic number.

It is an amenable number.

12318916993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12318916993 is an equidigital number, since it uses as much as digits as its factorization.

12318916993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 52.

The spelling of 12318916993 in words is "twelve billion, three hundred eighteen million, nine hundred sixteen thousand, nine hundred ninety-three".