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123113222993 is a prime number
BaseRepresentation
bin111001010101000011…
…1101011001101010001
3102202202222020201120202
41302222013223031101
54004113441113433
6132320223344545
711615601062165
oct1625207531521
9382688221522
10123113222993
1148237228692
121ba3a452155
13b7c0191c57
145d5c9c2ca5
153308461ee8
hex1caa1eb351

123113222993 has 2 divisors, whose sum is σ = 123113222994. Its totient is φ = 123113222992.

The previous prime is 123113222963. The next prime is 123113223029. The reversal of 123113222993 is 399222311321.

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., 115649645329 + 7463577664 = 340073^2 + 86392^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113222993 - 236 = 54393746257 is a prime.

It is not a weakly prime, because it can be changed into another prime (123113222963) 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, 61556611496 + 61556611497.

It is an arithmetic number, because the mean of its divisors is an integer number (61556611497).

Almost surely, 2123113222993 is an apocalyptic number.

It is an amenable number.

123113222993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113222993 is an equidigital number, since it uses as much as digits as its factorization.

123113222993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 38.

The spelling of 123113222993 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-two thousand, nine hundred ninety-three".