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11200120122303 = 3372194310361933
BaseRepresentation
bin1010001011111011101100…
…1011100110101110111111
31110122201110121222012122000
42202332323023212232333
52432000321222403203
635453133020153343
72234116263151200
oct242767313465677
943581417865560
1011200120122303
113628a42905842
12130a7a9698853
136332225b09c8
142aa1355a55a7
1514651a45a4a3
hexa2fbb2e6bbf

11200120122303 has 96 divisors (see below), whose sum is σ = 20790184377600. Its totient is φ = 5922217167552.

The previous prime is 11200120122299. The next prime is 11200120122311. The reversal of 11200120122303 is 30322102100211.

11200120122303 is a `hidden beast` number, since 1 + 120 + 0 + 120 + 122 + 303 = 666.

It is not a de Polignac number, because 11200120122303 - 22 = 11200120122299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200120122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4100076 + ... + 6261857.

It is an arithmetic number, because the mean of its divisors is an integer number (216564420600).

Almost surely, 211200120122303 is an apocalyptic number.

11200120122303 is a deficient number, since it is larger than the sum of its proper divisors (9590064255297).

11200120122303 is a wasteful number, since it uses less digits than its factorization.

11200120122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362018 (or 10362005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11200120122303 its reverse (30322102100211), we get a palindrome (41522222222514).

The spelling of 11200120122303 in words is "eleven trillion, two hundred billion, one hundred twenty million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 7 9 19 21 27 43 49 57 63 129 133 147 171 189 301 387 399 441 513 817 903 931 1161 1197 1323 2107 2451 2709 2793 3591 5719 6321 7353 8127 8379 17157 18963 22059 25137 40033 51471 56889 120099 154413 360297 1080891 10361933 31085799 72533531 93257397 196876727 217600593 279772191 445563119 507734717 590630181 652801779 1336689357 1378137089 1523204151 1771890543 1958405337 3118941833 4010068071 4134411267 4569612453 5315671629 8465699261 9356825499 9646959623 12030204213 12403233801 13708837359 21832592831 25397097783 28070476497 28940878869 37209701403 59259894827 65497778493 76191293349 84211429491 86822636607 177779684481 196493335479 228573880047 260467909821 414819263789 533339053443 589480006437 1244457791367 1600017160329 3733373374101 11200120122303