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11332300200 = 23352131452859
BaseRepresentation
bin10101000110111010…
…10010110110101000
31002020202201111102020
422203131102312220
5141202032101300
65112254304440
7550552651044
oct124335226650
932222644366
1011332300200
114895873961
1222431b8120
1310b7a243a0
14797091024
15464d2d8a0
hex2a3752da8

11332300200 has 96 divisors (see below), whose sum is σ = 37832474400. Its totient is φ = 2789487360.

The previous prime is 11332300163. The next prime is 11332300211. The reversal of 11332300200 is 200323311.

11332300200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11332300200.

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 23 ways as a sum of consecutive naturals, for example, 718630 + ... + 734229.

It is an arithmetic number, because the mean of its divisors is an integer number (394088275).

Almost surely, 211332300200 is an apocalyptic number.

11332300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332300200 is an abundant number, since it is smaller than the sum of its proper divisors (26500174200).

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

11332300200 is a wasteful number, since it uses less digits than its factorization.

11332300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452891 (or 1452882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11332300200 its reverse (200323311), we get a palindrome (11532623511).

The spelling of 11332300200 in words is "eleven billion, three hundred thirty-two million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1452859 2905718 4358577 5811436 7264295 8717154 11622872 14528590 17434308 18887167 21792885 29057180 34868616 36321475 37774334 43585770 56661501 58114360 72642950 75548668 87171540 94435835 108964425 113323002 145285900 151097336 174343080 188871670 217928850 226646004 283307505 290571800 377743340 435857700 453292008 472179175 566615010 755486680 871715400 944358350 1133230020 1416537525 1888716700 2266460040 2833075050 3777433400 5666150100 11332300200