Search a number
-
+
12313009993 is a prime number
BaseRepresentation
bin10110111011110100…
…11001111101001001
31011210010002201100011
423131322121331021
5200204112304433
65353450311521
7614061600214
oct133572317511
934703081304
1012313009993
115249411719
1224777285a1
131212c6923b
1484b41a77b
154c0e9e3cd
hex2dde99f49

12313009993 has 2 divisors, whose sum is σ = 12313009994. Its totient is φ = 12313009992.

The previous prime is 12313009981. The next prime is 12313010069. The reversal of 12313009993 is 39990031321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8980026169 + 3332983824 = 94763^2 + 57732^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313009993 - 221 = 12310912841 is a prime.

It is a super-2 number, since 2×123130099932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313009903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156504996 + 6156504997.

It is an arithmetic number, because the mean of its divisors is an integer number (6156504997).

Almost surely, 212313009993 is an apocalyptic number.

It is an amenable number.

12313009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313009993 is an equidigital number, since it uses as much as digits as its factorization.

12313009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 40.

The spelling of 12313009993 in words is "twelve billion, three hundred thirteen million, nine thousand, nine hundred ninety-three".