Search a number
-
+
12332021130 = 2325113137919
BaseRepresentation
bin10110111110000101…
…11011010110001010
31011211102212120201100
423133002323112022
5200223444134010
65355410002230
7614412310242
oct133702732612
934742776640
1012332021130
115259117000
122481b76376
131216b94530
1484db68b22
154c29a72c0
hex2df0bb58a

12332021130 has 192 divisors, whose sum is σ = 37984826880. Its totient is φ = 2759264640.

The previous prime is 12332021129. The next prime is 12332021137. The reversal of 12332021130 is 3112023321.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12332021137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1553311 + ... + 1561229.

It is an arithmetic number, because the mean of its divisors is an integer number (197837640).

Almost surely, 212332021130 is an apocalyptic number.

12332021130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332021130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992413440).

12332021130 is an abundant number, since it is smaller than the sum of its proper divisors (25652805750).

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

12332021130 is a wasteful number, since it uses less digits than its factorization.

12332021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7953 counting only the distinct ones).

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

Adding to 12332021130 its reverse (3112023321), we get a palindrome (15444044451).

The spelling of 12332021130 in words is "twelve billion, three hundred thirty-two million, twenty-one thousand, one hundred thirty".