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12218346313 is a prime number
BaseRepresentation
bin10110110000100010…
…10010101101001001
31011112111222022011221
423120101102231021
5200010344040223
65340225322041
7611532141625
oct133021225511
934474868157
1012218346313
1151aaa35478
12244ba96321
1311c9473624
1483ca18185
154b7a00b5d
hex2d8452b49

12218346313 has 2 divisors, whose sum is σ = 12218346314. Its totient is φ = 12218346312.

The previous prime is 12218346271. The next prime is 12218346317. The reversal of 12218346313 is 31364381221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8359079184 + 3859267129 = 91428^2 + 62123^2 .

It is an emirp because it is prime and its reverse (31364381221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12218346313 - 217 = 12218215241 is a prime.

It is not a weakly prime, because it can be changed into another prime (12218346317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6109173156 + 6109173157.

It is an arithmetic number, because the mean of its divisors is an integer number (6109173157).

Almost surely, 212218346313 is an apocalyptic number.

It is an amenable number.

12218346313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12218346313 is an equidigital number, since it uses as much as digits as its factorization.

12218346313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 34.

The spelling of 12218346313 in words is "twelve billion, two hundred eighteen million, three hundred forty-six thousand, three hundred thirteen".