Search a number
-
+
123013330393 is a prime number
BaseRepresentation
bin111001010010000101…
…0100111010111011001
3102202112000021122200211
41302210022213113121
54003412403033033
6132302254331121
711613246025132
oct1624412472731
9382460248624
10123013330393
11481958aa918
121ba10ab9aa1
13b7a55882c5
145d4d61cc89
1532ee7ce2cd
hex1ca42a75d9

123013330393 has 2 divisors, whose sum is σ = 123013330394. Its totient is φ = 123013330392.

The previous prime is 123013330381. The next prime is 123013330397. The reversal of 123013330393 is 393033310321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122956825104 + 56505289 = 350652^2 + 7517^2 .

It is an emirp because it is prime and its reverse (393033310321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123013330393 is a prime.

It is not a weakly prime, because it can be changed into another prime (123013330397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506665196 + 61506665197.

It is an arithmetic number, because the mean of its divisors is an integer number (61506665197).

Almost surely, 2123013330393 is an apocalyptic number.

It is an amenable number.

123013330393 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013330393 is an equidigital number, since it uses as much as digits as its factorization.

123013330393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

The spelling of 123013330393 in words is "one hundred twenty-three billion, thirteen million, three hundred thirty thousand, three hundred ninety-three".