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11201111202012 = 22317277198221689
BaseRepresentation
bin1010001011111111011001…
…0000010001100011011100
31110122211000200212021101220
42202333312100101203130
52432004333431431022
635453415222333340
72234152656200334
oct242776620214334
943584020767356
1011201111202012
113629401296686
12130aa2558a250
1363334ca168c4
142aa1cb0700c4
1514657747885c
hexa2ff64118dc

11201111202012 has 48 divisors (see below), whose sum is σ = 27773237429280. Its totient is φ = 3501387896832.

The previous prime is 11201111202011. The next prime is 11201111202119. The reversal of 11201111202012 is 21020211110211.

It is a happy number.

11201111202012 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-2 number, since 2×112011112020122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201111201982 and 11201111202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201111202011) 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, 99054337 + ... + 99167352.

It is an arithmetic number, because the mean of its divisors is an integer number (578609113110).

Almost surely, 211201111202012 is an apocalyptic number.

11201111202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201111202012 is an abundant number, since it is smaller than the sum of its proper divisors (16572126227268).

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

11201111202012 is a wasteful number, since it uses less digits than its factorization.

11201111202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198221990 (or 198221988 counting only the distinct ones).

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

Adding to 11201111202012 its reverse (21020211110211), we get a palindrome (32221322312223).

The spelling of 11201111202012 in words is "eleven trillion, two hundred one billion, one hundred eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 277 554 831 1108 1662 3324 4709 9418 14127 18836 28254 56508 198221689 396443378 594665067 792886756 1189330134 2378660268 3369768713 6739537426 10109306139 13479074852 20218612278 40437224556 54907407853 109814815706 164722223559 219629631412 329444447118 658888894236 933425933501 1866851867002 2800277800503 3733703734004 5600555601006 11201111202012