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11201022101200 = 2452122322896611
BaseRepresentation
bin1010001011111111000011…
…1100011000011011010000
31110122210210111012111001211
42202333300330120123100
52432004143124214300
635453402320505504
72234150524641241
oct242776074303320
943583714174054
1011201022101200
113629365a69948
12130a9bb77b294
1363333741b029
142aa1bd2b8cc8
1514656e7284ba
hexa2ff0f186d0

11201022101200 has 60 divisors (see below), whose sum is σ = 26932460417568. Its totient is φ = 4476745187200.

The previous prime is 11201022101189. The next prime is 11201022101201. The reversal of 11201022101200 is 210122010211.

11201022101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112010221012003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201022101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10959106 + ... + 11937505.

Almost surely, 211201022101200 is an apocalyptic number.

11201022101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201022101200 is an abundant number, since it is smaller than the sum of its proper divisors (15731438316368).

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

11201022101200 is a wasteful number, since it uses less digits than its factorization.

11201022101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22897852 (or 22897841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201022101200 its reverse (210122010211), we get a palindrome (11411144111411).

The spelling of 11201022101200 in words is "eleven trillion, two hundred one billion, twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1223 2446 4892 6115 9784 12230 19568 24460 30575 48920 61150 97840 122300 244600 489200 22896611 45793222 91586444 114483055 183172888 228966110 366345776 457932220 572415275 915864440 1144830550 1831728880 2289661100 4579322200 9158644400 28002555253 56005110506 112010221012 140012776265 224020442024 280025552530 448040884048 560051105060 700063881325 1120102210120 1400127762650 2240204420240 2800255525300 5600511050600 11201022101200