Search a number
-
+
123112139993 is a prime number
BaseRepresentation
bin111001010101000001…
…1100010110011011001
3102202202220012200222122
41302222003202303121
54004113201434433
6132320144231025
711615555631563
oct1625203426331
9382686180878
10123112139993
1148236658a47
121ba3a00b475
13b7bcba301b
145d5c7c0333
1533082eb198
hex1caa0e2cd9

123112139993 has 2 divisors, whose sum is σ = 123112139994. Its totient is φ = 123112139992.

The previous prime is 123112139963. The next prime is 123112140007. The reversal of 123112139993 is 399931211321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65680976089 + 57431163904 = 256283^2 + 239648^2 .

It is an emirp because it is prime and its reverse (399931211321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123112139993 - 222 = 123107945689 is a prime.

It is not a weakly prime, because it can be changed into another prime (123112139923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556069996 + 61556069997.

It is an arithmetic number, because the mean of its divisors is an integer number (61556069997).

Almost surely, 2123112139993 is an apocalyptic number.

It is an amenable number.

123112139993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112139993 is an equidigital number, since it uses as much as digits as its factorization.

123112139993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 78732, while the sum is 44.

The spelling of 123112139993 in words is "one hundred twenty-three billion, one hundred twelve million, one hundred thirty-nine thousand, nine hundred ninety-three".