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11201043300 = 22352173759359
BaseRepresentation
bin10100110111010001…
…00101101101100100
31001220121201221210120
422123220211231210
5140414431341200
65051245121540
7544400203626
oct123350455544
931817657716
1011201043300
114828773687
1222072592b0
131096788795
14783884c16
154585529a0
hex29ba25b64

11201043300 has 144 divisors (see below), whose sum is σ = 35242744320. Its totient is φ = 2735216640.

The previous prime is 11201043299. The next prime is 11201043323. The reversal of 11201043300 is 334010211.

11201043300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201043300.

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 47 ways as a sum of consecutive naturals, for example, 159021 + ... + 218379.

It is an arithmetic number, because the mean of its divisors is an integer number (244741280).

Almost surely, 211201043300 is an apocalyptic number.

11201043300 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 11201043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621372160).

11201043300 is an abundant number, since it is smaller than the sum of its proper divisors (24041701020).

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

11201043300 is a wasteful number, since it uses less digits than its factorization.

11201043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59430 (or 59423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11201043300 its reverse (334010211), we get a palindrome (11535053511).

The spelling of 11201043300 in words is "eleven billion, two hundred one million, forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1700 1850 1887 2220 2516 2550 2775 3145 3700 3774 5100 5550 6290 7548 9435 11100 12580 15725 18870 31450 37740 47175 59359 62900 94350 118718 178077 188700 237436 296795 356154 593590 712308 890385 1009103 1187180 1483975 1780770 2018206 2196283 2967950 3027309 3561540 4036412 4392566 4451925 5045515 5935900 6054618 6588849 8785132 8903850 10091030 10981415 12109236 13177698 15136545 17807700 20182060 21962830 25227575 26355396 30273090 32944245 37336811 43925660 50455150 54907075 60546180 65888490 74673622 75682725 100910300 109814150 112010433 131776980 149347244 151365450 164721225 186684055 219628300 224020866 302730900 329442450 373368110 448041732 560052165 658884900 746736220 933420275 1120104330 1866840550 2240208660 2800260825 3733681100 5600521650 11201043300