Search a number
-
+
12231543360 = 2635191315119
BaseRepresentation
bin10110110010000111…
…01000101001000000
31011120102210210010110
423121003220221000
5200022233341420
65341420231320
7612052255161
oct133103505100
934512723113
1012231543360
115207429623
12245439b540
1311cc11442a
14840691768
154b8c5aee0
hex2d90e8a40

12231543360 has 224 divisors, whose sum is σ = 41199206400. Its totient is φ = 3065886720.

The previous prime is 12231543347. The next prime is 12231543403. The reversal of 12231543360 is 6334513221.

It is a super-2 number, since 2×122315433602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386881 + ... + 2391999.

Almost surely, 212231543360 is an apocalyptic number.

12231543360 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 12231543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599603200).

12231543360 is an abundant number, since it is smaller than the sum of its proper divisors (28967663040).

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

12231543360 is a wasteful number, since it uses less digits than its factorization.

12231543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 12231543360 in words is "twelve billion, two hundred thirty-one million, five hundred forty-three thousand, three hundred sixty".