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12441113317 is a prime number
BaseRepresentation
bin10111001011000110…
…00101001011100101
31012010001011001001201
423211203011023211
5200434411111232
65414304122501
7620205501253
oct134543051345
935101131051
1012441113317
115304758636
1224b2606431
13123366c619
148604455d3
154cc355be7
hex2e58c52e5

12441113317 has 2 divisors, whose sum is σ = 12441113318. Its totient is φ = 12441113316.

The previous prime is 12441113263. The next prime is 12441113323. The reversal of 12441113317 is 71331114421.

12441113317 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., 11948894721 + 492218596 = 109311^2 + 22186^2 .

It is a cyclic number.

It is not a de Polignac number, because 12441113317 - 211 = 12441111269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12441113327) 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, 6220556658 + 6220556659.

It is an arithmetic number, because the mean of its divisors is an integer number (6220556659).

Almost surely, 212441113317 is an apocalyptic number.

It is an amenable number.

12441113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

12441113317 is an equidigital number, since it uses as much as digits as its factorization.

12441113317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

Adding to 12441113317 its reverse (71331114421), we get a palindrome (83772227738).

The spelling of 12441113317 in words is "twelve billion, four hundred forty-one million, one hundred thirteen thousand, three hundred seventeen".