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11332110200 = 2352534632309
BaseRepresentation
bin10101000110111001…
…00100011101111000
31002020202100211210012
422203130210131320
5141202010011300
65112250241052
7550551230105
oct124334443570
932222324705
1011332110200
114895754134
122243126188
1310b7988a68
14797041aac
15464ce2435
hex2a3724778

11332110200 has 96 divisors (see below), whose sum is σ = 26913902400. Its totient is φ = 4435791360.

The previous prime is 11332110199. The next prime is 11332110217. The reversal of 11332110200 is 201123311.

11332110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 4906646 + ... + 4908954.

It is an arithmetic number, because the mean of its divisors is an integer number (280353150).

Almost surely, 211332110200 is an apocalyptic number.

11332110200 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 11332110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456951200).

11332110200 is an abundant number, since it is smaller than the sum of its proper divisors (15581792200).

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

11332110200 is a wasteful number, since it uses less digits than its factorization.

11332110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11332110200 its reverse (201123311), we get a palindrome (11533233511).

The spelling of 11332110200 in words is "eleven billion, three hundred thirty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 463 530 926 1060 1325 1852 2120 2309 2315 2650 3704 4618 4630 5300 9236 9260 10600 11545 11575 18472 18520 23090 23150 24539 46180 46300 49078 57725 92360 92600 98156 115450 122377 122695 196312 230900 244754 245390 461800 489508 490780 611885 613475 979016 981560 1069067 1223770 1226950 2138134 2447540 2453900 3059425 4276268 4895080 4907800 5345335 6118850 8552536 10690670 12237700 21381340 24475400 26726675 42762680 53453350 56660551 106906700 113321102 213813400 226642204 283302755 453284408 566605510 1133211020 1416513775 2266422040 2833027550 5666055100 11332110200