Search a number
-
+
11201000020112 = 247195989214031
BaseRepresentation
bin1010001011111110111110…
…1000001001100010010000
31110122210201221122122111202
42202333233220021202100
52432004122001120422
635453400211330332
72234150136154010
oct242775750114220
943583657578452
1011201000020112
113629354558011
12130a9b42b09a8
136333329895b6
142aa1ba3abc40
1514656c815b92
hexa2fefa09890

11201000020112 has 80 divisors (see below), whose sum is σ = 26550095923200. Its totient is φ = 4470693471360.

The previous prime is 11201000020109. The next prime is 11201000020117. The reversal of 11201000020112 is 21102000010211.

It is a junction number, because it is equal to n+sod(n) for n = 11201000020093 and 11201000020102.

It is not an unprimeable number, because it can be changed into a prime (11201000020117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44481464 + ... + 44732567.

It is an arithmetic number, because the mean of its divisors is an integer number (331876199040).

Almost surely, 211201000020112 is an apocalyptic number.

It is an amenable number.

11201000020112 is an abundant number, since it is smaller than the sum of its proper divisors (15349095903088).

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

11201000020112 is a wasteful number, since it uses less digits than its factorization.

11201000020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89214124 (or 89214118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201000020112 its reverse (21102000010211), we get a palindrome (32303000030323).

Subtracting 11201000020112 from its reverse (21102000010211), we obtain a palindrome (9900999990099).

The spelling of 11201000020112 in words is "eleven trillion, two hundred one billion, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 413 472 532 826 944 1064 1121 1652 2128 2242 3304 4484 6608 7847 8968 15694 17936 31388 62776 125552 89214031 178428062 356856124 624498217 713712248 1248996434 1427424496 1695066589 2497992868 3390133178 4995985736 5263627829 6780266356 9991971472 10527255658 11865466123 13560532712 21054511316 23730932246 27121065424 36845394803 42109022632 47461864492 73690789606 84218045264 94923728984 100008928751 147381579212 189847457968 200017857502 294763158424 400035715004 589526316848 700062501257 800071430008 1400125002514 1600142860016 2800250005028 5600500010056 11201000020112