Search a number
-
+
11043120011200 = 265219344098111
BaseRepresentation
bin1010000010110010110100…
…1111101101011111000000
31110002201020000120012120021
42200230231033231133000
52421412302210324300
635253050031023224
72216560544215564
oct240545517553700
943081200505507
1011043120011200
1135783a7397602
1212a429266ab14
136214919b9b94
142a26c02696a4
151423cc03dd1a
hexa0b2d3ed7c0

11043120011200 has 168 divisors, whose sum is σ = 27323333069760. Its totient is φ = 4392822374400.

The previous prime is 11043120011171. The next prime is 11043120011201. The reversal of 11043120011200 is 211002134011.

11043120011200 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11043120011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361495145 + ... + 1361503255.

It is an arithmetic number, because the mean of its divisors is an integer number (162638887320).

Almost surely, 211043120011200 is an apocalyptic number.

11043120011200 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 11043120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661666534880).

11043120011200 is an abundant number, since it is smaller than the sum of its proper divisors (16280213058560).

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

11043120011200 is a wasteful number, since it uses less digits than its factorization.

11043120011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11043120011200 its reverse (211002134011), we get a palindrome (11254122145211).

The spelling of 11043120011200 in words is "eleven trillion, forty-three billion, one hundred twenty million, eleven thousand, two hundred".