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12210202129 is a prime number
BaseRepresentation
bin10110101111100100…
…01110011000010001
31011111221122112110111
423113302032120101
5200001302432004
65335335001321
7611403001636
oct132762163021
934457575414
1012210202129
1151a6382644
122449209241
1311c7881698
1483b8d818d
154b6e42a04
hex2d7c8e611

12210202129 has 2 divisors, whose sum is σ = 12210202130. Its totient is φ = 12210202128.

The previous prime is 12210202091. The next prime is 12210202153. The reversal of 12210202129 is 92120201221.

12210202129 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., 11445790225 + 764411904 = 106985^2 + 27648^2 .

It is an emirp because it is prime and its reverse (92120201221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12210202129 - 211 = 12210200081 is a prime.

It is a super-2 number, since 2×122102021292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12210202229) 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, 6105101064 + 6105101065.

It is an arithmetic number, because the mean of its divisors is an integer number (6105101065).

Almost surely, 212210202129 is an apocalyptic number.

It is an amenable number.

12210202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210202129 is an equidigital number, since it uses as much as digits as its factorization.

12210202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12210202129 in words is "twelve billion, two hundred ten million, two hundred two thousand, one hundred twenty-nine".