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11120200200 = 2332526177889
BaseRepresentation
bin10100101101101000…
…01100101000001000
31001200222121200220200
422112310030220020
5140233232401300
65035240252200
7542366066514
oct122664145010
931628550820
1011120200200
114797076aaa
1221a4171060
131082ac1725
14776c3d144
154513d4200
hex296d0ca08

11120200200 has 72 divisors (see below), whose sum is σ = 37345345050. Its totient is φ = 2965386240.

The previous prime is 11120200199. The next prime is 11120200211. The reversal of 11120200200 is 200202111.

It can be written as a sum of positive squares in 3 ways, for example, as 9650704644 + 1469495556 = 98238^2 + 38334^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×111202002003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3087145 + ... + 3090744.

Almost surely, 211120200200 is an apocalyptic number.

11120200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120200200 is an abundant number, since it is smaller than the sum of its proper divisors (26225144850).

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

11120200200 is a wasteful number, since it uses less digits than its factorization.

11120200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177911 (or 6177899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11120200200 its reverse (200202111), we get a palindrome (11320402311).

The spelling of 11120200200 in words is "eleven billion, one hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6177889 12355778 18533667 24711556 30889445 37067334 49423112 55601001 61778890 74134668 92668335 111202002 123557780 148269336 154447225 185336670 222404004 247115560 278005005 308894450 370673340 444808008 463341675 556010010 617788900 741346680 926683350 1112020020 1235577800 1390025025 1853366700 2224040040 2780050050 3706733400 5560100100 11120200200