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123112013309 is a prime number
BaseRepresentation
bin111001010101000001…
…1000011110111111101
3102202202212222021012122
41302222003003313331
54004113133411214
6132320141412325
711615554563335
oct1625203036775
9382685867178
10123112013309
114823658184a
121ba39b6a0a5
13b7bcb5a46c
145d5c78a0c5
1533082c388e
hex1caa0c3dfd

123112013309 has 2 divisors, whose sum is σ = 123112013310. Its totient is φ = 123112013308.

The previous prime is 123112013303. The next prime is 123112013351. The reversal of 123112013309 is 903310211321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97646875225 + 25465138084 = 312485^2 + 159578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123112013309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123112013303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556006654 + 61556006655.

It is an arithmetic number, because the mean of its divisors is an integer number (61556006655).

Almost surely, 2123112013309 is an apocalyptic number.

It is an amenable number.

123112013309 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112013309 is an equidigital number, since it uses as much as digits as its factorization.

123112013309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 123112013309 in words is "one hundred twenty-three billion, one hundred twelve million, thirteen thousand, three hundred nine".