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12838324321 is a prime number
BaseRepresentation
bin10111111010011100…
…10100100001100001
31020010201120110010101
423331032110201201
5202243102334241
65521533502401
7633100645654
oct137516244141
936121513111
1012838324321
115498999099
1225a3641a01
131297a45614
1489b0c189b
15502167e31
hex2fd394861

12838324321 has 2 divisors, whose sum is σ = 12838324322. Its totient is φ = 12838324320.

The previous prime is 12838324277. The next prime is 12838324349. The reversal of 12838324321 is 12342383821.

12838324321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11721093696 + 1117230625 = 108264^2 + 33425^2 .

It is a cyclic number.

It is not a de Polignac number, because 12838324321 - 215 = 12838291553 is a prime.

It is a super-2 number, since 2×128383243212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12838324721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6419162160 + 6419162161.

It is an arithmetic number, because the mean of its divisors is an integer number (6419162161).

Almost surely, 212838324321 is an apocalyptic number.

It is an amenable number.

12838324321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12838324321 is an equidigital number, since it uses as much as digits as its factorization.

12838324321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 37.

The spelling of 12838324321 in words is "twelve billion, eight hundred thirty-eight million, three hundred twenty-four thousand, three hundred twenty-one".