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200112001100 = 225211909120011
BaseRepresentation
bin1011101001011110011…
…0101101000001001100
3201010112011000221010022
42322113212231001030
511234312133013400
6231532530401312
720312650641554
oct2722746550114
9633464027108
10200112001100
117795a00a2a0
1232949130238
1315b415a530b
149984d18164
1553131e9b85
hex2e979ad04c

200112001100 has 72 divisors (see below), whose sum is σ = 473795466816. Its totient is φ = 72756360000.

The previous prime is 200112001087. The next prime is 200112001123. The reversal of 200112001100 is 1100211002.

200112001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9990095 + ... + 10010105.

Almost surely, 2200112001100 is an apocalyptic number.

200112001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200112001100 is an abundant number, since it is smaller than the sum of its proper divisors (273683465716).

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

200112001100 is a wasteful number, since it uses less digits than its factorization.

200112001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29127 (or 29120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200112001100 its reverse (1100211002), we get a palindrome (201212212102).

It can be divided in two parts, 20011 and 2001100, that multiplied together give a square (40044012100 = 2001102).

The spelling of 200112001100 in words is "two hundred billion, one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9091 18182 20011 36364 40022 45455 80044 90910 100001 100055 181820 200002 200110 220121 227275 400004 400220 440242 454550 500005 500275 880484 909100 1000010 1000550 1100605 2000020 2001100 2201210 2500025 4402420 5000050 5503025 10000100 11006050 22012100 181920001 363840002 727680004 909600005 1819200010 2001120011 3638400020 4002240022 4548000025 8004480044 9096000050 10005600055 18192000100 20011200110 40022400220 50028000275 100056000550 200112001100