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12210102220193 is a prime number
BaseRepresentation
bin1011000110101110001011…
…0011100011010110100001
31121020021102000110202011022
42301223202303203112201
53100022242132021233
641545124333455225
72400102500301353
oct261534263432641
947207360422138
1012210102220193
113988303428609
121452496641515
136a753b939437
14302d876310d3
1516292d1e5398
hexb1ae2ce35a1

12210102220193 has 2 divisors, whose sum is σ = 12210102220194. Its totient is φ = 12210102220192.

The previous prime is 12210102220109. The next prime is 12210102220219. The reversal of 12210102220193 is 39102220101221.

12210102220193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12210102220219) can be obtained adding 12210102220193 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8111514117184 + 4098588103009 = 2848072^2 + 2024497^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210102220193 - 212 = 12210102216097 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210102220103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105051110096 + 6105051110097.

It is an arithmetic number, because the mean of its divisors is an integer number (6105051110097).

Almost surely, 212210102220193 is an apocalyptic number.

It is an amenable number.

12210102220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210102220193 is an equidigital number, since it uses as much as digits as its factorization.

12210102220193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 12210102220193 in words is "twelve trillion, two hundred ten billion, one hundred two million, two hundred twenty thousand, one hundred ninety-three".