Search a number
-
+
10011293716337 is a prime number
BaseRepresentation
bin1001000110101110111110…
…0110110000111101110001
31022110001220021100111010122
42101223233212300331301
52303011112142410322
633143042544340025
72052202122346064
oct221535746607561
938401807314118
1010011293716337
11320a847344291
12115830a014615
135780a3b90804
142687990188db
1512563b69e442
hex91aef9b0f71

10011293716337 has 2 divisors, whose sum is σ = 10011293716338. Its totient is φ = 10011293716336.

The previous prime is 10011293716283. The next prime is 10011293716357. The reversal of 10011293716337 is 73361739211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9962204439616 + 49089276721 = 3156296^2 + 221561^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011293716337 - 218 = 10011293454193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011293716357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005646858168 + 5005646858169.

It is an arithmetic number, because the mean of its divisors is an integer number (5005646858169).

Almost surely, 210011293716337 is an apocalyptic number.

It is an amenable number.

10011293716337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011293716337 is an equidigital number, since it uses as much as digits as its factorization.

10011293716337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884, while the sum is 44.

The spelling of 10011293716337 in words is "ten trillion, eleven billion, two hundred ninety-three million, seven hundred sixteen thousand, three hundred thirty-seven".