Search a number
-
+
12332423320 = 2357307143467
BaseRepresentation
bin10110111110001000…
…11101100010011000
31011211110122000102021
423133010131202120
5200224100021240
65355422344224
7614415603640
oct133704354230
934743560367
1012332423320
115259371198
12248212b074
131216ca5609
1484dc31520
154c2a3654a
hex2df11d898

12332423320 has 64 divisors (see below), whose sum is σ = 31815463680. Its totient is φ = 4214457216.

The previous prime is 12332423303. The next prime is 12332423399. The reversal of 12332423320 is 2332423321.

12332423320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 14227 + ... + 157693.

It is an arithmetic number, because the mean of its divisors is an integer number (497116620).

Almost surely, 212332423320 is an apocalyptic number.

12332423320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907731840).

12332423320 is an abundant number, since it is smaller than the sum of its proper divisors (19483040360).

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

12332423320 is a wasteful number, since it uses less digits than its factorization.

12332423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143792 (or 143788 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 12332423320 its reverse (2332423321), we get a palindrome (14664846641).

Subtracting from 12332423320 its reverse (2332423321), we obtain a palindrome (9999999999).

The spelling of 12332423320 in words is "twelve billion, three hundred thirty-two million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 1228 1535 2149 2456 3070 4298 6140 8596 10745 12280 17192 21490 42980 85960 143467 286934 573868 717335 1004269 1147736 1434670 2008538 2869340 4017076 5021345 5738680 8034152 10042690 20085380 40170760 44044369 88088738 176177476 220221845 308310583 352354952 440443690 616621166 880887380 1233242332 1541552915 1761774760 2466484664 3083105830 6166211660 12332423320