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12220321331 = 829132111159
BaseRepresentation
bin10110110000110001…
…10100111000110011
31011112122200122101202
423120120310320303
5200011400240311
65340335521415
7611555005661
oct133030647063
934478618352
1012220321331
115201064319
12245068926b
1311c99b558a
1483cdadc31
154b7c90e3b
hex2d8634e33

12220321331 has 8 divisors (see below), whose sum is σ = 12245421600. Its totient is φ = 12195247680.

The previous prime is 12220321313. The next prime is 12220321343. The reversal of 12220321331 is 13312302221.

12220321331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220321331 - 214 = 12220304947 is a prime.

It is a super-2 number, since 2×122203213312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220321301) 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 in 7 ways as a sum of consecutive naturals, for example, 1089530 + ... + 1100688.

It is an arithmetic number, because the mean of its divisors is an integer number (1530677700).

Almost surely, 212220321331 is an apocalyptic number.

12220321331 is a deficient number, since it is larger than the sum of its proper divisors (25100269).

12220321331 is a wasteful number, since it uses less digits than its factorization.

12220321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12220321331 its reverse (13312302221), we get a palindrome (25532623552).

The spelling of 12220321331 in words is "twelve billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 829 1321 11159 1095109 9250811 14741039 12220321331