Search a number
-
+
123536000387 is a prime number
BaseRepresentation
bin111001100001101010…
…0011100010110000011
3102210212102210001010202
41303003110130112003
54011000204003022
6132430205115415
711632223451302
oct1630324342603
9383772701122
10123536000387
1148433940598
121bb37b58b6b
13b859949ba7
145d9cbd6439
153330624592
hex1cc351c583

123536000387 has 2 divisors, whose sum is σ = 123536000388. Its totient is φ = 123536000386.

The previous prime is 123536000347. The next prime is 123536000389. The reversal of 123536000387 is 783000635321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123536000387 - 226 = 123468891523 is a prime.

It is a super-2 number, since 2×1235360003872 (a number of 23 digits) contains 22 as substring.

Together with 123536000389, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123536000387.

It is not a weakly prime, because it can be changed into another prime (123536000389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61768000193 + 61768000194.

It is an arithmetic number, because the mean of its divisors is an integer number (61768000194).

Almost surely, 2123536000387 is an apocalyptic number.

123536000387 is a deficient number, since it is larger than the sum of its proper divisors (1).

123536000387 is an equidigital number, since it uses as much as digits as its factorization.

123536000387 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 123536000387 in words is "one hundred twenty-three billion, five hundred thirty-six million, three hundred eighty-seven", and thus it is an aban number.