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11203221200 = 2452206913537
BaseRepresentation
bin10100110111100001…
…11001011011010000
31001220202211121022112
422123300321123100
5140421011034300
65051403524452
7544424544323
oct123360713320
931822747275
1011203221200
114829a209a6
122207b29728
13109706bb92
14783c907ba
15458832e35
hex29bc396d0

11203221200 has 60 divisors (see below), whose sum is σ = 26930737260. Its totient is φ = 4478791680.

The previous prime is 11203221193. The next prime is 11203221203. The reversal of 11203221200 is 212230211.

It is a happy number.

11203221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2808976 + 11200412224 = 1676^2 + 105832^2 .

It is a super-2 number, since 2×112032212002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203221203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 820832 + ... + 834368.

It is an arithmetic number, because the mean of its divisors is an integer number (448845621).

Almost surely, 211203221200 is an apocalyptic number.

11203221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11203221200 is an abundant number, since it is smaller than the sum of its proper divisors (15727516060).

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

11203221200 is a wasteful number, since it uses less digits than its factorization.

11203221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15624 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11203221200 its reverse (212230211), we get a palindrome (11415451411).

The spelling of 11203221200 in words is "eleven billion, two hundred three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2069 4138 8276 10345 13537 16552 20690 27074 33104 41380 51725 54148 67685 82760 103450 108296 135370 165520 206900 216592 270740 338425 413800 541480 676850 827600 1082960 1353700 2707400 5414800 28008053 56016106 112032212 140040265 224064424 280080530 448128848 560161060 700201325 1120322120 1400402650 2240644240 2800805300 5601610600 11203221200