Search a number
-
+
12233310112 = 254334725621
BaseRepresentation
bin10110110010010100…
…10111111110100000
31011120120010112122201
423121022113332200
5200023211410422
65341522142544
7612103264102
oct133112277640
934516115581
1012233310112
115208425a51
122454ab1a54
1311cc5b264a
148409d1572
154b8ea9727
hex2d9297fa0

12233310112 has 48 divisors (see below), whose sum is σ = 24716416032. Its totient is φ = 5956957440.

The previous prime is 12233310073. The next prime is 12233310119. The reversal of 12233310112 is 21101333221.

It is a super-2 number, since 2×122333101122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12233310112.

It is not an unprimeable number, because it can be changed into a prime (12233310119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464662 + ... + 490282.

It is an arithmetic number, because the mean of its divisors is an integer number (514925334).

Almost surely, 212233310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358208016).

12233310112 is an abundant number, since it is smaller than the sum of its proper divisors (12483105920).

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

12233310112 is a wasteful number, since it uses less digits than its factorization.

12233310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26021 (or 26013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12233310112 its reverse (21101333221), we get a palindrome (33334643333).

The spelling of 12233310112 in words is "twelve billion, two hundred thirty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 172 344 347 688 694 1376 1388 2776 5552 11104 14921 25621 29842 51242 59684 102484 119368 204968 238736 409936 477472 819872 1101703 2203406 4406812 8813624 8890487 17627248 17780974 35254496 35561948 71123896 142247792 284495584 382290941 764581882 1529163764 3058327528 6116655056 12233310112