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12210010193 is a prime number
BaseRepresentation
bin10110101111100010…
…11111100001010001
31011111221021210011202
423113301133201101
5200001230311233
65335330520545
7611401242233
oct132761374121
934457253152
1012210010193
1151a6261417
122449136155
1311c7815204
1483b888253
154b6e05be8
hex2d7c5f851

12210010193 has 2 divisors, whose sum is σ = 12210010194. Its totient is φ = 12210010192.

The previous prime is 12210010187. The next prime is 12210010271. The reversal of 12210010193 is 39101001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11099254609 + 1110755584 = 105353^2 + 33328^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210010193 - 26 = 12210010129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210010123) 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, 6105005096 + 6105005097.

It is an arithmetic number, because the mean of its divisors is an integer number (6105005097).

Almost surely, 212210010193 is an apocalyptic number.

It is an amenable number.

12210010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210010193 is an equidigital number, since it uses as much as digits as its factorization.

12210010193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 12210010193 in words is "twelve billion, two hundred ten million, ten thousand, one hundred ninety-three".