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11112321200 = 2452236119801
BaseRepresentation
bin10100101100101100…
…01001000010110000
31001200102210101221212
422112112021002300
5140224223234300
65034355335252
7542242112621
oct122626110260
931612711855
1011112321200
114792685432
1221a15b1528
1310812933b6
14775b8ba48
15450879935
hex2965890b0

11112321200 has 120 divisors (see below), whose sum is σ = 28316226336. Its totient is φ = 4181760000.

The previous prime is 11112321179. The next prime is 11112321203. The reversal of 11112321200 is 212321111.

It is not an unprimeable number, because it can be changed into a prime (11112321203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551300 + ... + 571100.

Almost surely, 211112321200 is an apocalyptic number.

11112321200 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 11112321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158113168).

11112321200 is an abundant number, since it is smaller than the sum of its proper divisors (17203905136).

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

11112321200 is a wasteful number, since it uses less digits than its factorization.

11112321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19903 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11112321200 its reverse (212321111), we get a palindrome (11324642311).

The spelling of 11112321200 in words is "eleven billion, one hundred twelve million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 61 80 92 100 115 122 184 200 230 244 305 368 400 460 488 575 610 920 976 1150 1220 1403 1525 1840 2300 2440 2806 3050 4600 4880 5612 6100 7015 9200 11224 12200 14030 19801 22448 24400 28060 35075 39602 56120 70150 79204 99005 112240 140300 158408 198010 280600 316816 396020 455423 495025 561200 792040 910846 990050 1207861 1584080 1821692 1980100 2277115 2415722 3643384 3960200 4554230 4831444 6039305 7286768 7920400 9108460 9662888 11385575 12078610 18216920 19325776 22771150 24157220 27780803 30196525 36433840 45542300 48314440 55561606 60393050 91084600 96628880 111123212 120786100 138904015 182169200 222246424 241572200 277808030 444492848 483144400 555616060 694520075 1111232120 1389040150 2222464240 2778080300 5556160600 11112321200