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12138332281 is a prime number
BaseRepresentation
bin10110100111000000…
…00100000001111001
31011022221102011120021
423103200010001321
5144324403113111
65324250330441
7606541056565
oct132340040171
934287364507
1012138332281
115169854779
122429129a21
1311b5a09a4a
1483214a6a5
154b0997d71
hex2d3804079

12138332281 has 2 divisors, whose sum is σ = 12138332282. Its totient is φ = 12138332280.

The previous prime is 12138332279. The next prime is 12138332287. The reversal of 12138332281 is 18223383121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12136327225 + 2005056 = 110165^2 + 1416^2 .

It is a cyclic number.

It is not a de Polignac number, because 12138332281 - 21 = 12138332279 is a prime.

It is a super-2 number, since 2×121383322812 (a number of 21 digits) contains 22 as substring.

Together with 12138332279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12138332287) 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, 6069166140 + 6069166141.

It is an arithmetic number, because the mean of its divisors is an integer number (6069166141).

Almost surely, 212138332281 is an apocalyptic number.

It is an amenable number.

12138332281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12138332281 is an equidigital number, since it uses as much as digits as its factorization.

12138332281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 34.

It can be divided in two parts, 121383 and 32281, that added together give a square (153664 = 3922).

The spelling of 12138332281 in words is "twelve billion, one hundred thirty-eight million, three hundred thirty-two thousand, two hundred eighty-one".