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12381938441 is a prime number
BaseRepresentation
bin10111000100000010…
…10110001100001001
31011221220210122101122
423202001112030021
5200324234012231
65404351525025
7615556511615
oct134201261411
934856718348
1012381938441
115284310684
122496829775
1312243210c2
14856640345
154c706777b
hex2e2056309

12381938441 has 2 divisors, whose sum is σ = 12381938442. Its totient is φ = 12381938440.

The previous prime is 12381938431. The next prime is 12381938447. The reversal of 12381938441 is 14483918321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11974706041 + 407232400 = 109429^2 + 20180^2 .

It is a cyclic number.

It is not a de Polignac number, because 12381938441 - 210 = 12381937417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12381938392 and 12381938401.

It is not a weakly prime, because it can be changed into another prime (12381938447) 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, 6190969220 + 6190969221.

It is an arithmetic number, because the mean of its divisors is an integer number (6190969221).

Almost surely, 212381938441 is an apocalyptic number.

It is an amenable number.

12381938441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12381938441 is an equidigital number, since it uses as much as digits as its factorization.

12381938441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 44.

The spelling of 12381938441 in words is "twelve billion, three hundred eighty-one million, nine hundred thirty-eight thousand, four hundred forty-one".