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123042205193 is a prime number
BaseRepresentation
bin111001010010111100…
…0110000111000001001
3102202121000121122110212
41302211320300320021
54003442301031233
6132305205250505
711614046326205
oct1624570607011
9382530548425
10123042205193
1148200131996
121ba1a703a35
13b7ab55809b
145d533b7b05
1533020d4a48
hex1ca5e30e09

123042205193 has 2 divisors, whose sum is σ = 123042205194. Its totient is φ = 123042205192.

The previous prime is 123042205109. The next prime is 123042205211. The reversal of 123042205193 is 391502240321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95217296329 + 27824908864 = 308573^2 + 166808^2 .

It is an emirp because it is prime and its reverse (391502240321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123042205193 - 218 = 123041943049 is a prime.

It is not a weakly prime, because it can be changed into another prime (123042204193) 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, 61521102596 + 61521102597.

It is an arithmetic number, because the mean of its divisors is an integer number (61521102597).

Almost surely, 2123042205193 is an apocalyptic number.

It is an amenable number.

123042205193 is a deficient number, since it is larger than the sum of its proper divisors (1).

123042205193 is an equidigital number, since it uses as much as digits as its factorization.

123042205193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 123042205193 in words is "one hundred twenty-three billion, forty-two million, two hundred five thousand, one hundred ninety-three".