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12683824301 is a prime number
BaseRepresentation
bin10111101000000001…
…11100110010101101
31012201221212000221102
423310000330302231
5201434024334201
65454334212445
7626213504411
oct136400746255
935657760842
1012683824301
115419762a25
12255b954125
131271a2c3a5
14884784d41
154e37ea26b
hex2f403ccad

12683824301 has 2 divisors, whose sum is σ = 12683824302. Its totient is φ = 12683824300.

The previous prime is 12683824273. The next prime is 12683824369. The reversal of 12683824301 is 10342838621.

It is a happy number.

12683824301 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., 7094019076 + 5589805225 = 84226^2 + 74765^2 .

It is a cyclic number.

It is not a de Polignac number, because 12683824301 - 210 = 12683823277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12685824301) 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, 6341912150 + 6341912151.

It is an arithmetic number, because the mean of its divisors is an integer number (6341912151).

Almost surely, 212683824301 is an apocalyptic number.

It is an amenable number.

12683824301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12683824301 is an equidigital number, since it uses as much as digits as its factorization.

12683824301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 12683824301 in words is "twelve billion, six hundred eighty-three million, eight hundred twenty-four thousand, three hundred one".