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12338108933 is a prime number
BaseRepresentation
bin10110111110110100…
…01001101000000101
31011211212022212121112
423133122021220011
5200232023441213
65400144254405
7614515124033
oct133732115005
934755285545
1012338108933
1152615a4947
122484011405
131218216497
148508b1553
154c32aaea8
hex2df689a05

12338108933 has 2 divisors, whose sum is σ = 12338108934. Its totient is φ = 12338108932.

The previous prime is 12338108879. The next prime is 12338108963. The reversal of 12338108933 is 33980183321.

12338108933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12209808004 + 128300929 = 110498^2 + 11327^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338108933 - 228 = 12069673477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12338108963) 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, 6169054466 + 6169054467.

It is an arithmetic number, because the mean of its divisors is an integer number (6169054467).

Almost surely, 212338108933 is an apocalyptic number.

It is an amenable number.

12338108933 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338108933 is an equidigital number, since it uses as much as digits as its factorization.

12338108933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 12338108933 in words is "twelve billion, three hundred thirty-eight million, one hundred eight thousand, nine hundred thirty-three".