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12021210013 is a prime number
BaseRepresentation
bin10110011001000010…
…10001101110011101
31011000210000202000111
423030201101232131
5144104412210023
65304504130021
7603616412341
oct131441215635
934023022014
1012021210013
11510972900a
1223b5a66911
13119767c927
1482077d621
154a556000d
hex2cc851b9d

12021210013 has 2 divisors, whose sum is σ = 12021210014. Its totient is φ = 12021210012.

The previous prime is 12021210011. The next prime is 12021210029. The reversal of 12021210013 is 31001212021.

12021210013 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., 11363133604 + 658076409 = 106598^2 + 25653^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021210013 - 21 = 12021210011 is a prime.

Together with 12021210011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12021209975 and 12021210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12021210011) 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, 6010605006 + 6010605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6010605007).

Almost surely, 212021210013 is an apocalyptic number.

It is an amenable number.

12021210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021210013 is an equidigital number, since it uses as much as digits as its factorization.

12021210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12021210013 its reverse (31001212021), we get a palindrome (43022422034).

The spelling of 12021210013 in words is "twelve billion, twenty-one million, two hundred ten thousand, thirteen".