Search a number
-
+
201110202012200 = 235213254977303361
BaseRepresentation
bin101101101110100010011110…
…001001101101001000101000
3222101001221120202120202001212
4231232202132021231020220
5202324442143203342300
61551420430143332252
760234506166602045
oct5556423611551050
9871057522522055
10201110202012200
11590973a3116088
121a6806078b1088
13882a7c2864760
143793adddd81cc
15183b510503935
hexb6e89e26d228

201110202012200 has 96 divisors (see below), whose sum is σ = 503552640594360. Its totient is φ = 74255538585600.

The previous prime is 201110202012169. The next prime is 201110202012217. The reversal of 201110202012200 is 2210202011102.

It can be written as a sum of positive squares in 12 ways, for example, as 23217614593156 + 177892587419044 = 4818466^2 + 13337638^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662788520 + ... + 663091880.

Almost surely, 2201110202012200 is an apocalyptic number.

201110202012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110202012200 is an abundant number, since it is smaller than the sum of its proper divisors (302442438582160).

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

201110202012200 is a wasteful number, since it uses less digits than its factorization.

201110202012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558367 (or 558358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201110202012200 its reverse (2210202011102), we get a palindrome (203320404023302).

The spelling of 201110202012200 in words is "two hundred one trillion, one hundred ten billion, two hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 254977 303361 509954 606722 1019908 1213444 1274885 1516805 2039816 2426888 2549770 3033610 3314701 3943693 5099540 6067220 6374425 6629402 7584025 7887386 10199080 12134440 12748850 13258804 15168050 15774772 16573505 19718465 25497700 26517608 30336100 31549544 33147010 39436930 50995400 60672200 66294020 78873860 82867525 98592325 132588040 157747720 165735050 197184650 331470100 394369300 662940200 788738600 77350077697 154700155394 309400310788 386750388485 618800621576 773500776970 1005551010061 1547001553940 1933751942425 2011102020122 3094003107880 3867503884850 4022204040244 5027755050305 7735007769700 8044408080488 10055510100610 15470015539400 20111020201220 25138775251525 40222040402440 50277550503050 100555101006100 201110202012200