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123332322013 is a prime number
BaseRepresentation
bin111001011011100101…
…1011110001011011101
3102210100020112002221021
41302313023132023131
54010041033301023
6132354051404141
711624201303635
oct1626713361335
9383306462837
10123332322013
1148339975a5a
121ba9b8b3651
13b8266a5544
145d7db376c5
15331c7e035d
hex1cb72de2dd

123332322013 has 2 divisors, whose sum is σ = 123332322014. Its totient is φ = 123332322012.

The previous prime is 123332322011. The next prime is 123332322049. The reversal of 123332322013 is 310223233321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66009427929 + 57322894084 = 256923^2 + 239422^2 .

It is a cyclic number.

It is not a de Polignac number, because 123332322013 - 21 = 123332322011 is a prime.

Together with 123332322011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123332322011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61666161006 + 61666161007.

It is an arithmetic number, because the mean of its divisors is an integer number (61666161007).

Almost surely, 2123332322013 is an apocalyptic number.

It is an amenable number.

123332322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123332322013 is an equidigital number, since it uses as much as digits as its factorization.

123332322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 123332322013 its reverse (310223233321), we get a palindrome (433555555334).

The spelling of 123332322013 in words is "one hundred twenty-three billion, three hundred thirty-two million, three hundred twenty-two thousand, thirteen".