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11200211200 = 28521992107
BaseRepresentation
bin10100110111001010…
…11010100100000000
31001220120011200101001
422123211122210000
5140414223224300
65051215221344
7544360136653
oct123345324400
931816150331
1011200211200
1148282554a2
122206b17854
131096556b09
1478370989a
1545843b16a
hex29b95a900

11200211200 has 108 divisors (see below), whose sum is σ = 29181656560. Its totient is φ = 4244244480.

The previous prime is 11200211189. The next prime is 11200211221. The reversal of 11200211200 is 211200211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75547 + ... + 167653.

Almost surely, 211200211200 is an apocalyptic number.

11200211200 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 11200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14590828280).

11200211200 is an abundant number, since it is smaller than the sum of its proper divisors (17981445360).

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

11200211200 is an equidigital number, since it uses as much as digits as its factorization.

11200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92152 (or 92133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200211200 its reverse (211200211), we get a palindrome (11411411411).

The spelling of 11200211200 in words is "eleven billion, two hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 60800 92107 121600 184214 368428 460535 736856 921070 1473712 1750033 1842140 2302675 2947424 3500066 3684280 4605350 5894848 7000132 7368560 8750165 9210700 11789696 14000264 14737120 17500330 18421400 23579392 28000528 29474240 35000660 36842800 43750825 56001056 58948480 70001320 73685600 87501650 112002112 117896960 140002640 147371200 175003300 224004224 280005280 294742400 350006600 448008448 560010560 589484800 700013200 1120021120 1400026400 2240042240 2800052800 5600105600 11200211200