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12222023305829 is a prime number
BaseRepresentation
bin1011000111011010100101…
…0110111000101001100101
31121021102011211002122100112
42301312221112320221211
53100221200431241304
641554415304022405
72401004062663151
oct261665126705145
947242154078315
1012222023305829
11399237058a6a7
121454862a61a05
136a86bb630a6c
1430379898a061
15162dc9a78b6e
hexb1da95b8a65

12222023305829 has 2 divisors, whose sum is σ = 12222023305830. Its totient is φ = 12222023305828.

The previous prime is 12222023305813. The next prime is 12222023305831. The reversal of 12222023305829 is 92850332022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10082517388804 + 2139505917025 = 3175298^2 + 1462705^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222023305829 - 24 = 12222023305813 is a prime.

Together with 12222023305831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222023305859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111011652914 + 6111011652915.

It is an arithmetic number, because the mean of its divisors is an integer number (6111011652915).

Almost surely, 212222023305829 is an apocalyptic number.

It is an amenable number.

12222023305829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222023305829 is an equidigital number, since it uses as much as digits as its factorization.

12222023305829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 12222023305829 in words is "twelve trillion, two hundred twenty-two billion, twenty-three million, three hundred five thousand, eight hundred twenty-nine".