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12144844181 is a prime number
BaseRepresentation
bin10110100111110001…
…11001110110010101
31011100101200000012202
423103320321312111
5144333040003211
65325042054245
7606650320661
oct132370716625
934311600182
1012144844181
1151724a2208
12242b34a385
1311b7179a42
14832d638a1
154b133253b
hex2d3e39d95

12144844181 has 2 divisors, whose sum is σ = 12144844182. Its totient is φ = 12144844180.

The previous prime is 12144844121. The next prime is 12144844207. The reversal of 12144844181 is 18144844121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11322875281 + 821968900 = 106409^2 + 28670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12144844181 is a prime.

It is a super-2 number, since 2×121448441812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12144844111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072422090 + 6072422091.

It is an arithmetic number, because the mean of its divisors is an integer number (6072422091).

Almost surely, 212144844181 is an apocalyptic number.

It is an amenable number.

12144844181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144844181 is an equidigital number, since it uses as much as digits as its factorization.

12144844181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32768, while the sum is 38.

The spelling of 12144844181 in words is "twelve billion, one hundred forty-four million, eight hundred forty-four thousand, one hundred eighty-one".