Search a number
-
+
12332130300 = 223252710119381
BaseRepresentation
bin10110111110000110…
…10101111111111100
31011211110002010110200
423133003111333330
5200224011132200
65355412203500
7614413243440
oct133703257774
934743063420
1012332130300
115259191026
122482009590
131216c02129
1484db96820
154c29c9800
hex2df0d5ffc

12332130300 has 216 divisors, whose sum is σ = 44616123552. Its totient is φ = 2790720000.

The previous prime is 12332130241. The next prime is 12332130311. The reversal of 12332130300 is 303123321.

12332130300 is a `hidden beast` number, since 1 + 2 + 332 + 1 + 30 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 626610 + ... + 645990.

Almost surely, 212332130300 is an apocalyptic number.

12332130300 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 12332130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308061776).

12332130300 is an abundant number, since it is smaller than the sum of its proper divisors (32283993252).

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

12332130300 is a wasteful number, since it uses less digits than its factorization.

12332130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12332130300 its reverse (303123321), we get a palindrome (12635253621).

The spelling of 12332130300 in words is "twelve billion, three hundred thirty-two million, one hundred thirty thousand, three hundred".