Search a number
-
+
123936059393 is a prime number
BaseRepresentation
bin111001101101100101…
…0100011000000000001
3102211220022120010220222
41303123022203000001
54012310112400033
6132534015512425
711645152060136
oct1633312430001
9384808503828
10123936059393
1148619746873
1220029b28715
13b8c17ac2b3
145dd9db458d
1533557ea598
hex1cdb2a3001

123936059393 has 2 divisors, whose sum is σ = 123936059394. Its totient is φ = 123936059392.

The previous prime is 123936059389. The next prime is 123936059407. The reversal of 123936059393 is 393950639321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93133001329 + 30803058064 = 305177^2 + 175508^2 .

It is an emirp because it is prime and its reverse (393950639321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123936059393 - 22 = 123936059389 is a prime.

It is not a weakly prime, because it can be changed into another prime (123936059323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61968029696 + 61968029697.

It is an arithmetic number, because the mean of its divisors is an integer number (61968029697).

Almost surely, 2123936059393 is an apocalyptic number.

It is an amenable number.

123936059393 is a deficient number, since it is larger than the sum of its proper divisors (1).

123936059393 is an equidigital number, since it uses as much as digits as its factorization.

123936059393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3542940, while the sum is 53.

The spelling of 123936059393 in words is "one hundred twenty-three billion, nine hundred thirty-six million, fifty-nine thousand, three hundred ninety-three".