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111201212200 = 23521342769697
BaseRepresentation
bin110011110010000011…
…0111101011100101000
3101122000210200212201211
41213210012331130220
53310220002242300
6123030215522504
711014445464561
oct1474406753450
9348023625654
10111201212200
1143184204671
1219675089434
13a642327060
14554c94b168
152d5c7c24ba
hex19e41bd728

111201212200 has 48 divisors (see below), whose sum is σ = 278430733980. Its totient is φ = 41058908160.

The previous prime is 111201212197. The next prime is 111201212207. The reversal of 111201212200 is 2212102111.

111201212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21657831556 + 89543380644 = 147166^2 + 299238^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (111201212207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21382249 + ... + 21387448.

Almost surely, 2111201212200 is an apocalyptic number.

111201212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111201212200 is an abundant number, since it is smaller than the sum of its proper divisors (167229521780).

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

111201212200 is a wasteful number, since it uses less digits than its factorization.

111201212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42769726 (or 42769717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111201212200 its reverse (2212102111), we get a palindrome (113413314311).

The spelling of 111201212200 in words is "one hundred eleven billion, two hundred one million, two hundred 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 42769697 85539394 171078788 213848485 342157576 427696970 556006061 855393940 1069242425 1112012122 1710787880 2138484850 2224024244 2780030305 4276969700 4448048488 5560060610 8553939400 11120121220 13900151525 22240242440 27800303050 55600606100 111201212200