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123113113309 is a prime number
BaseRepresentation
bin111001010101000011…
…1010000011011011101
3102202202222001011010101
41302222013100123131
54004113424111214
6132320221141101
711615600124334
oct1625207203335
9382688034111
10123113113309
114823716323a
121ba3a3ba791
13b7c0154054
145d5c994d1b
15330843e774
hex1caa1d06dd

123113113309 has 2 divisors, whose sum is σ = 123113113310. Its totient is φ = 123113113308.

The previous prime is 123113113303. The next prime is 123113113351. The reversal of 123113113309 is 903311311321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103012112025 + 20101001284 = 320955^2 + 141778^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113113309 - 213 = 123113105117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123113113303) 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, 61556556654 + 61556556655.

It is an arithmetic number, because the mean of its divisors is an integer number (61556556655).

Almost surely, 2123113113309 is an apocalyptic number.

It is an amenable number.

123113113309 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113113309 is an equidigital number, since it uses as much as digits as its factorization.

123113113309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 123113113309 in words is "one hundred twenty-three billion, one hundred thirteen million, one hundred thirteen thousand, three hundred nine".