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12131113009 is a prime number
BaseRepresentation
bin10110100110001001…
…00001100000110001
31011022102211101120211
423103010201200301
5144321031104014
65323431504121
7606422521261
oct132304414061
934272741524
1012131113009
115165773834
122426828041
1311b437caa2
148311cb7a1
154b001dcc4
hex2d3121831

12131113009 has 2 divisors, whose sum is σ = 12131113010. Its totient is φ = 12131113008.

The previous prime is 12131112991. The next prime is 12131113039. The reversal of 12131113009 is 90031113121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11215445409 + 915667600 = 105903^2 + 30260^2 .

It is an emirp because it is prime and its reverse (90031113121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131113009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131113039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065556504 + 6065556505.

It is an arithmetic number, because the mean of its divisors is an integer number (6065556505).

Almost surely, 212131113009 is an apocalyptic number.

It is an amenable number.

12131113009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131113009 is an equidigital number, since it uses as much as digits as its factorization.

12131113009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 12131113009 in words is "twelve billion, one hundred thirty-one million, one hundred thirteen thousand, nine".