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12202120013 is a prime number
BaseRepresentation
bin10110101110100110…
…11001001101001101
31011111101102220212212
423113103121031031
5144442220320023
65334445440205
7611244210626
oct132723311515
934441386785
1012202120013
1151a1862406
122446570065
1311c5cb1a75
1483a7d2a4d
154b6397e78
hex2d74d934d

12202120013 has 2 divisors, whose sum is σ = 12202120014. Its totient is φ = 12202120012.

The previous prime is 12202119997. The next prime is 12202120031. The reversal of 12202120013 is 31002120221.

It is a happy number.

Together with next prime (12202120031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9405508324 + 2796611689 = 96982^2 + 52883^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202120013 - 24 = 12202119997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12202120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101060006 + 6101060007.

It is an arithmetic number, because the mean of its divisors is an integer number (6101060007).

Almost surely, 212202120013 is an apocalyptic number.

It is an amenable number.

12202120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202120013 is an equidigital number, since it uses as much as digits as its factorization.

12202120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12202120013 its reverse (31002120221), we get a palindrome (43204240234).

The spelling of 12202120013 in words is "twelve billion, two hundred two million, one hundred twenty thousand, thirteen".