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12230111321 = 172857251809
BaseRepresentation
bin10110110001111100…
…01011000001011001
31011120100010000201222
423120332023001121
5200021402030241
65341325421425
7612034142141
oct133076130131
934510100658
1012230111321
11520664071a
122453a0a875
1311cba3267c
148403db921
154b8a76a4b
hex2d8f8b059

12230111321 has 8 divisors (see below), whose sum is σ = 12954113640. Its totient is φ = 11506618368.

The previous prime is 12230111297. The next prime is 12230111323. The reversal of 12230111321 is 12311103221.

12230111321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1628526025 + 10601585296 = 40355^2 + 102964^2 .

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

It is not a de Polignac number, because 12230111321 - 214 = 12230094937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12230111321.

It is not an unprimeable number, because it can be changed into a prime (12230111323) 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, 77336 + ... + 174473.

It is an arithmetic number, because the mean of its divisors is an integer number (1619264205).

Almost surely, 212230111321 is an apocalyptic number.

It is an amenable number.

12230111321 is a deficient number, since it is larger than the sum of its proper divisors (724002319).

12230111321 is a wasteful number, since it uses less digits than its factorization.

12230111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254683.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12230111321 its reverse (12311103221), we get a palindrome (24541214542).

The spelling of 12230111321 in words is "twelve billion, two hundred thirty million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 17 2857 48569 251809 4280753 719418313 12230111321