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12146112749 is a prime number
BaseRepresentation
bin10110100111111011…
…01111100011101101
31011100111001110100202
423103331233203231
5144333401101444
65325125203245
7606664153301
oct132375574355
934314043322
1012146112749
115173189311
12242b860525
1311b7502284
148331b3d01
154b14d334e
hex2d3f6f8ed

12146112749 has 2 divisors, whose sum is σ = 12146112750. Its totient is φ = 12146112748.

The previous prime is 12146112631. The next prime is 12146112751. The reversal of 12146112749 is 94721164121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8914758724 + 3231354025 = 94418^2 + 56845^2 .

It is an emirp because it is prime and its reverse (94721164121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12146112749 - 228 = 11877677293 is a prime.

It is a super-2 number, since 2×121461127492 (a number of 21 digits) contains 22 as substring.

Together with 12146112751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12146112049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073056374 + 6073056375.

It is an arithmetic number, because the mean of its divisors is an integer number (6073056375).

Almost surely, 212146112749 is an apocalyptic number.

It is an amenable number.

12146112749 is a deficient number, since it is larger than the sum of its proper divisors (1).

12146112749 is an equidigital number, since it uses as much as digits as its factorization.

12146112749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 38.

The spelling of 12146112749 in words is "twelve billion, one hundred forty-six million, one hundred twelve thousand, seven hundred forty-nine".