Search a number
-
+
12032131320 = 233251129104773
BaseRepresentation
bin10110011010010101…
…11100000011111000
31011001112120121020100
423031022330003320
5144120211200240
65305534155400
7604111300026
oct131512740370
934045517210
1012032131320
115114908390
1223b9652b60
131199a04941
14821dc3716
154a64bae30
hex2cd2bc0f8

12032131320 has 192 divisors, whose sum is σ = 44130808800. Its totient is φ = 2816271360.

The previous prime is 12032131253. The next prime is 12032131351. The reversal of 12032131320 is 2313123021.

12032131320 is a `hidden beast` number, since 1 + 20 + 321 + 3 + 1 + 320 = 666.

12032131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12032131293 and 12032131302.

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 47 ways as a sum of consecutive naturals, for example, 62454 + ... + 167226.

Almost surely, 212032131320 is an apocalyptic number.

12032131320 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 12032131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065404400).

12032131320 is an abundant number, since it is smaller than the sum of its proper divisors (32098677480).

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

12032131320 is a wasteful number, since it uses less digits than its factorization.

12032131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104830 (or 104823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032131320 its reverse (2313123021), we get a palindrome (14345254341).

The spelling of 12032131320 in words is "twelve billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty".