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12310320221 is a prime number
BaseRepresentation
bin10110111011100000…
…01001010001011101
31011202221001001122222
423131300021101131
5200202420221341
65353312515125
7614026665263
oct133560112135
934687031588
1012310320221
115247944871
12247684baa5
131212536b64
1484ad1a433
154c0b1c44b
hex2ddc0945d

12310320221 has 2 divisors, whose sum is σ = 12310320222. Its totient is φ = 12310320220.

The previous prime is 12310320203. The next prime is 12310320223. The reversal of 12310320221 is 12202301321.

12310320221 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., 7390840900 + 4919479321 = 85970^2 + 70139^2 .

It is a cyclic number.

It is not a de Polignac number, because 12310320221 - 222 = 12306125917 is a prime.

It is a super-2 number, since 2×123103202212 (a number of 21 digits) contains 22 as substring.

Together with 12310320223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12310320221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12310320223) 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, 6155160110 + 6155160111.

It is an arithmetic number, because the mean of its divisors is an integer number (6155160111).

Almost surely, 212310320221 is an apocalyptic number.

It is an amenable number.

12310320221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310320221 is an equidigital number, since it uses as much as digits as its factorization.

12310320221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12310320221 its reverse (12202301321), we get a palindrome (24512621542).

The spelling of 12310320221 in words is "twelve billion, three hundred ten million, three hundred twenty thousand, two hundred twenty-one".