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12185224813 is a prime number
BaseRepresentation
bin10110101100100101…
…11100011001101101
31011110012122120000201
423112102330121231
5144423404143223
65333043353501
7610650462526
oct132622743155
934405576021
1012185224813
115193272833
122440982891
1311c26478c8
1483847584d
154b4b5bead
hex2d64bc66d

12185224813 has 2 divisors, whose sum is σ = 12185224814. Its totient is φ = 12185224812.

The previous prime is 12185224811. The next prime is 12185224823. The reversal of 12185224813 is 31842258121.

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., 11109581604 + 1075643209 = 105402^2 + 32797^2 .

It is a cyclic number.

It is not a de Polignac number, because 12185224813 - 21 = 12185224811 is a prime.

Together with 12185224811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12185224811) 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, 6092612406 + 6092612407.

It is an arithmetic number, because the mean of its divisors is an integer number (6092612407).

Almost surely, 212185224813 is an apocalyptic number.

It is an amenable number.

12185224813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12185224813 is an equidigital number, since it uses as much as digits as its factorization.

12185224813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 37.

The spelling of 12185224813 in words is "twelve billion, one hundred eighty-five million, two hundred twenty-four thousand, eight hundred thirteen".