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123332322049 is a prime number
BaseRepresentation
bin111001011011100101…
…1011110001100000001
3102210100020112002222121
41302313023132030001
54010041033301144
6132354051404241
711624201304016
oct1626713361401
9383306462877
10123332322049
1148339975a92
121ba9b8b3681
13b8266a5571
145d7db3770d
15331c7e0384
hex1cb72de301

123332322049 has 2 divisors, whose sum is σ = 123332322050. Its totient is φ = 123332322048.

The previous prime is 123332322013. The next prime is 123332322067. The reversal of 123332322049 is 940223233321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122762640625 + 569681424 = 350375^2 + 23868^2 .

It is a cyclic number.

It is not a de Polignac number, because 123332322049 - 27 = 123332321921 is a prime.

It is not a weakly prime, because it can be changed into another prime (123332322649) 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, 61666161024 + 61666161025.

It is an arithmetic number, because the mean of its divisors is an integer number (61666161025).

Almost surely, 2123332322049 is an apocalyptic number.

It is an amenable number.

123332322049 is a deficient number, since it is larger than the sum of its proper divisors (1).

123332322049 is an equidigital number, since it uses as much as digits as its factorization.

123332322049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 123332322049 in words is "one hundred twenty-three billion, three hundred thirty-two million, three hundred twenty-two thousand, forty-nine".