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12210021013 is a prime number
BaseRepresentation
bin10110101111100011…
…00010001010010101
31011111221022100000111
423113301202022111
5200001231133023
65335331043021
7611401315621
oct132761421225
934457270014
1012210021013
1151a6269563
122449140471
1311c781a108
1483b88c181
154b6e0900d
hex2d7c62295

12210021013 has 2 divisors, whose sum is σ = 12210021014. Its totient is φ = 12210021012.

The previous prime is 12210020941. The next prime is 12210021029. The reversal of 12210021013 is 31012001221.

12210021013 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., 8589953124 + 3620067889 = 92682^2 + 60167^2 .

It is an emirp because it is prime and its reverse (31012001221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210021013 is a prime.

It is a super-2 number, since 2×122100210132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210020984 and 12210021002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210021073) 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, 6105010506 + 6105010507.

It is an arithmetic number, because the mean of its divisors is an integer number (6105010507).

Almost surely, 212210021013 is an apocalyptic number.

It is an amenable number.

12210021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210021013 is an equidigital number, since it uses as much as digits as its factorization.

12210021013 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 12210021013 its reverse (31012001221), we get a palindrome (43222022234).

The spelling of 12210021013 in words is "twelve billion, two hundred ten million, twenty-one thousand, thirteen".