Search a number
-
+
12002303313113 is a prime number
BaseRepresentation
bin1010111010101000000100…
…0001101000010011011001
31120111102001011011112101112
42232222001001220103121
53033121204122004423
641305440530030105
72346065156603051
oct256520101502331
946442034145345
1012002303313113
11390816a359063
12141a163118335
13690a73954a59
142d6cb3870561
1515c31a248a78
hexaea810684d9

12002303313113 has 2 divisors, whose sum is σ = 12002303313114. Its totient is φ = 12002303313112.

The previous prime is 12002303313101. The next prime is 12002303313139. The reversal of 12002303313113 is 31131330320021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6684127695424 + 5318175617689 = 2585368^2 + 2306117^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002303313113 - 214 = 12002303296729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12002303315113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001151656556 + 6001151656557.

It is an arithmetic number, because the mean of its divisors is an integer number (6001151656557).

Almost surely, 212002303313113 is an apocalyptic number.

It is an amenable number.

12002303313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002303313113 is an equidigital number, since it uses as much as digits as its factorization.

12002303313113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12002303313113 its reverse (31131330320021), we get a palindrome (43133633633134).

The spelling of 12002303313113 in words is "twelve trillion, two billion, three hundred three million, three hundred thirteen thousand, one hundred thirteen".