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123133870241 is a prime number
BaseRepresentation
bin111001010101101011…
…0011100000010100001
3102202211102002201021122
41302223112130002201
54004134232321431
6132322242102025
711616241425224
oct1625326340241
9382742081248
10123133870241
1148247950228
121ba4534a915
13b7c4540b65
145d616395bb
15330a18ea7b
hex1cab59c0a1

123133870241 has 2 divisors, whose sum is σ = 123133870242. Its totient is φ = 123133870240.

The previous prime is 123133870201. The next prime is 123133870303. The reversal of 123133870241 is 142078331321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79538100625 + 43595769616 = 282025^2 + 208796^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133870241 - 26 = 123133870177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (123133870201) 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, 61566935120 + 61566935121.

It is an arithmetic number, because the mean of its divisors is an integer number (61566935121).

Almost surely, 2123133870241 is an apocalyptic number.

It is an amenable number.

123133870241 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133870241 is an equidigital number, since it uses as much as digits as its factorization.

123133870241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 123133870241 in words is "one hundred twenty-three billion, one hundred thirty-three million, eight hundred seventy thousand, two hundred forty-one".