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123766201841 is a prime number
BaseRepresentation
bin111001101000100001…
…0100101110111110001
3102211110110221111011112
41303101002211313301
54011433121424331
6132505111123105
711641020233462
oct1632102456761
9384413844145
10123766201841
1148541881327
121bba1073495
13b895549a79
145dc15dad69
15334594732b
hex1cd10a5df1

123766201841 has 2 divisors, whose sum is σ = 123766201842. Its totient is φ = 123766201840.

The previous prime is 123766201777. The next prime is 123766201931. The reversal of 123766201841 is 148102667321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123763240000 + 2961841 = 351800^2 + 1721^2 .

It is a cyclic number.

It is not a de Polignac number, because 123766201841 - 26 = 123766201777 is a prime.

It is not a weakly prime, because it can be changed into another prime (123766204841) 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, 61883100920 + 61883100921.

It is an arithmetic number, because the mean of its divisors is an integer number (61883100921).

Almost surely, 2123766201841 is an apocalyptic number.

It is an amenable number.

123766201841 is a deficient number, since it is larger than the sum of its proper divisors (1).

123766201841 is an equidigital number, since it uses as much as digits as its factorization.

123766201841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 123766201841 in words is "one hundred twenty-three billion, seven hundred sixty-six million, two hundred one thousand, eight hundred forty-one".