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11201112200112 = 24313914503115757
BaseRepresentation
bin1010001011111111011001…
…0100000101001110110000
31110122211000202201222112120
42202333312110011032300
52432004334210400422
635453415255554240
72234153000525262
oct242776624051660
943584022658476
1011201112200112
11362940190855a
12130aa2598b980
1363334cca5cb3
142aa1cb24db32
151465775c445c
hexa2ff65053b0

11201112200112 has 80 divisors (see below), whose sum is σ = 29146641995520. Its totient is φ = 3706555274496.

The previous prime is 11201112200081. The next prime is 11201112200119. The reversal of 11201112200112 is 21100221110211.

It is a happy number.

11201112200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112011122001123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201112200091 and 11201112200100.

It is not an unprimeable number, because it can be changed into a prime (11201112200119) 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, 96706138 + ... + 96821894.

It is an arithmetic number, because the mean of its divisors is an integer number (364333024944).

Almost surely, 211201112200112 is an apocalyptic number.

11201112200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201112200112 is an abundant number, since it is smaller than the sum of its proper divisors (17945529795408).

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

11201112200112 is a wasteful number, since it uses less digits than its factorization.

11201112200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130410 (or 130404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201112200112 its reverse (21100221110211), we get a palindrome (32301333310323).

The spelling of 11201112200112 in words is "eleven trillion, two hundred one billion, one hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 14503 29006 43509 58012 87018 115757 116024 174036 231514 232048 347271 348072 463028 694542 696144 926056 1389084 1852112 2015917 2778168 4031834 5556336 6047751 8063668 12095502 16090223 16127336 24191004 32180446 32254672 48270669 48382008 64360892 96541338 96764016 128721784 193082676 257443568 386165352 772330704 1678823771 3357647542 5036471313 6715295084 10072942626 13430590168 20145885252 26861180336 40291770504 80583541008 233356504169 466713008338 700069512507 933426016676 1400139025014 1866852033352 2800278050028 3733704066704 5600556100056 11201112200112