Search a number
-
+
12323232200 = 23526173101137
BaseRepresentation
bin10110111101000010…
…11001100111001000
31011210211100001120102
423132201121213020
5200214221412300
65354453344532
7614244513446
oct133641314710
934724301512
1012323232200
115254163824
12247b038148
131215107c96
1484c91bb96
154c1d1d0d5
hex2de8599c8

12323232200 has 192 divisors, whose sum is σ = 30030019920. Its totient is φ = 4700160000.

The previous prime is 12323232197. The next prime is 12323232217. The reversal of 12323232200 is 223232321.

12323232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 65642404 + 12257589796 = 8102^2 + 110714^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 89950532 + ... + 89950668.

Almost surely, 212323232200 is an apocalyptic number.

12323232200 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 12323232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015009960).

12323232200 is an abundant number, since it is smaller than the sum of its proper divisors (17706787720).

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

12323232200 is a wasteful number, since it uses less digits than its factorization.

12323232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12323232200 its reverse (223232321), we get a palindrome (12546464521).

The spelling of 12323232200 in words is "twelve billion, three hundred twenty-three million, two hundred thirty-two thousand, two hundred".