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124241122097 is a prime number
BaseRepresentation
bin111001110110101011…
…0010001001100110001
3102212200120120221021122
41303231112101030301
54013421211401342
6133024154232025
711655545053601
oct1635526211461
9385616527248
10124241122097
1148765968a04
12200b4125615
13b93ca60581
146028704c01
1533724a94d2
hex1ced591331

124241122097 has 2 divisors, whose sum is σ = 124241122098. Its totient is φ = 124241122096.

The previous prime is 124241122081. The next prime is 124241122133. The reversal of 124241122097 is 790221142421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112826122816 + 11414999281 = 335896^2 + 106841^2 .

It is a cyclic number.

It is not a de Polignac number, because 124241122097 - 24 = 124241122081 is a prime.

It is not a weakly prime, because it can be changed into another prime (124241125097) 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, 62120561048 + 62120561049.

It is an arithmetic number, because the mean of its divisors is an integer number (62120561049).

Almost surely, 2124241122097 is an apocalyptic number.

It is an amenable number.

124241122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

124241122097 is an equidigital number, since it uses as much as digits as its factorization.

124241122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 124241122097 in words is "one hundred twenty-four billion, two hundred forty-one million, one hundred twenty-two thousand, ninety-seven".