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12190046681 is a prime number
BaseRepresentation
bin10110101101001010…
…10101100111011001
31011110112201112101102
423112211111213121
5144431122443211
65333335001145
7611036454461
oct132645254731
934415645342
1012190046681
115195a6654a
1224425091b5
1311c3645597
14838d6cba1
154b52b0a3b
hex2d69559d9

12190046681 has 2 divisors, whose sum is σ = 12190046682. Its totient is φ = 12190046680.

The previous prime is 12190046633. The next prime is 12190046683. The reversal of 12190046681 is 18664009121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11593905625 + 596141056 = 107675^2 + 24416^2 .

It is an emirp because it is prime and its reverse (18664009121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12190046681 - 222 = 12185852377 is a prime.

It is a super-2 number, since 2×121900466812 (a number of 21 digits) contains 22 as substring.

Together with 12190046683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12190046683) 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, 6095023340 + 6095023341.

It is an arithmetic number, because the mean of its divisors is an integer number (6095023341).

Almost surely, 212190046681 is an apocalyptic number.

It is an amenable number.

12190046681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12190046681 is an equidigital number, since it uses as much as digits as its factorization.

12190046681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 12190046681 in words is "twelve billion, one hundred ninety million, forty-six thousand, six hundred eighty-one".