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12243311340 = 22351315696553
BaseRepresentation
bin10110110011100001…
…00001101011101100
31011121020221122202120
423121300201223230
5200033241430330
65342520352540
7612254300151
oct133160415354
934536848676
1012243311340
115213037027
122458315750
1312016a4930
14842076228
154b9cd2c10
hex2d9c21aec

12243311340 has 48 divisors (see below), whose sum is σ = 36918295008. Its totient is φ = 3013737984.

The previous prime is 12243311329. The next prime is 12243311341. The reversal of 12243311340 is 4311334221.

It is a happy number.

12243311340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12243311340.

It is not an unprimeable number, because it can be changed into a prime (12243311341) 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 15 ways as a sum of consecutive naturals, for example, 7847497 + ... + 7849056.

It is an arithmetic number, because the mean of its divisors is an integer number (769131146).

Almost surely, 212243311340 is an apocalyptic number.

12243311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243311340 is an abundant number, since it is smaller than the sum of its proper divisors (24674983668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12243311340 is a wasteful number, since it uses less digits than its factorization.

12243311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696578 (or 15696576 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12243311340 its reverse (4311334221), we get a palindrome (16554645561).

The spelling of 12243311340 in words is "twelve billion, two hundred forty-three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 15696553 31393106 47089659 62786212 78482765 94179318 156965530 188358636 204055189 235448295 313931060 408110378 470896590 612165567 816220756 941793180 1020275945 1224331134 2040551890 2448662268 3060827835 4081103780 6121655670 12243311340