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12981085289 is a prime number
BaseRepresentation
bin11000001011011101…
…11010010001101001
31020111200012110100122
430011232322101221
5203041124212124
65544033413025
7636453255464
oct140556722151
936450173318
1012981085289
115561536567
12262340a175
1312bb4ab573
148b20442db
1550e96775e
hex305bba469

12981085289 has 2 divisors, whose sum is σ = 12981085290. Its totient is φ = 12981085288.

The previous prime is 12981085279. The next prime is 12981085303. The reversal of 12981085289 is 98258018921.

12981085289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10631259664 + 2349825625 = 103108^2 + 48475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12981085289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12981085289.

It is not a weakly prime, because it can be changed into another prime (12981085279) 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, 6490542644 + 6490542645.

It is an arithmetic number, because the mean of its divisors is an integer number (6490542645).

Almost surely, 212981085289 is an apocalyptic number.

It is an amenable number.

12981085289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12981085289 is an equidigital number, since it uses as much as digits as its factorization.

12981085289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 53.

The spelling of 12981085289 in words is "twelve billion, nine hundred eighty-one million, eighty-five thousand, two hundred eighty-nine".