Search a number
-
+
12344103312 = 2431922347659
BaseRepresentation
bin10110111111100010…
…00001000110010000
31011212021121102100120
423133301001012100
5200240042301222
65400520550240
7614620101252
oct133761010620
934767542316
1012344103312
115264a19582
122486022380
131219534a58
148515d1cd2
154c3a9215c
hex2dfc41190

12344103312 has 240 divisors, whose sum is σ = 35920558080. Its totient is φ = 3643782912.

The previous prime is 12344103287. The next prime is 12344103323. The reversal of 12344103312 is 21330144321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18731239 + ... + 18731897.

It is an arithmetic number, because the mean of its divisors is an integer number (149668992).

Almost surely, 212344103312 is an apocalyptic number.

12344103312 is a gapful number since it is divisible by the number (12) 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 12344103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960279040).

12344103312 is an abundant number, since it is smaller than the sum of its proper divisors (23576454768).

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

12344103312 is a wasteful number, since it uses less digits than its factorization.

12344103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

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

Adding to 12344103312 its reverse (21330144321), we get a palindrome (33674247633).

The spelling of 12344103312 in words is "twelve billion, three hundred forty-four million, one hundred three thousand, three hundred twelve".