Search a number
-
+
12140031330 = 23457172943101
BaseRepresentation
bin10110100111001101…
…00010110101100010
31011100001121111020000
423103212202311202
5144330322000310
65324351000430
7606561364230
oct132346426542
934301544200
1012140031330
11516a805249
122429809116
1311b61831bb
1483246d950
154b0bd14c0
hex2d39a2d62

12140031330 has 640 divisors, whose sum is σ = 42227412480. Its totient is φ = 2438553600.

The previous prime is 12140031289. The next prime is 12140031349. The reversal of 12140031330 is 3313004121.

12140031330 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 Curzon 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 319 ways as a sum of consecutive naturals, for example, 120198280 + ... + 120198380.

It is an arithmetic number, because the mean of its divisors is an integer number (65980332).

Almost surely, 212140031330 is an apocalyptic number.

12140031330 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 12140031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113706240).

12140031330 is an abundant number, since it is smaller than the sum of its proper divisors (30087381150).

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

12140031330 is a wasteful number, since it uses less digits than its factorization.

12140031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

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

Adding to 12140031330 its reverse (3313004121), we get a palindrome (15453035451).

The spelling of 12140031330 in words is "twelve billion, one hundred forty million, thirty-one thousand, three hundred thirty".