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12223524029 is a prime number
BaseRepresentation
bin10110110001001010…
…00010110010111101
31011112212201100200012
423120211002302331
5200013210232104
65340532313005
7611624145203
oct133045026275
934485640605
1012223524029
115202951582
122451772765
1311ca567272
1483d5a5073
154b81c4d6e
hex2d8942cbd

12223524029 has 2 divisors, whose sum is σ = 12223524030. Its totient is φ = 12223524028.

The previous prime is 12223524023. The next prime is 12223524031. The reversal of 12223524029 is 92042532221.

12223524029 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., 8486647129 + 3736876900 = 92123^2 + 61130^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223524029 - 220 = 12222475453 is a prime.

Together with 12223524031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12223523986 and 12223524004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223524023) 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, 6111762014 + 6111762015.

It is an arithmetic number, because the mean of its divisors is an integer number (6111762015).

Almost surely, 212223524029 is an apocalyptic number.

It is an amenable number.

12223524029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223524029 is an equidigital number, since it uses as much as digits as its factorization.

12223524029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 12223524029 in words is "twelve billion, two hundred twenty-three million, five hundred twenty-four thousand, twenty-nine".