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11123000200 = 2352134278077
BaseRepresentation
bin10100101101111101…
…11000001110001000
31001201011212221210101
422112332320032020
5140234442001300
65035420255144
7542431641004
oct122676701610
931634787711
1011123000200
114798709754
1221a50a14b4
131083562030
1477736b704
15451788b6a
hex296fb8388

11123000200 has 48 divisors (see below), whose sum is σ = 27850287780. Its totient is φ = 4106952960.

The previous prime is 11123000183. The next prime is 11123000279. The reversal of 11123000200 is 200032111.

11123000200 is digitally balanced in base 2, 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 44595684 + 11078404516 = 6678^2 + 105254^2 .

It is a super-2 number, since 2×111230002002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136439 + ... + 2141638.

Almost surely, 211123000200 is an apocalyptic number.

11123000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123000200 is an abundant number, since it is smaller than the sum of its proper divisors (16727287580).

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

11123000200 is a wasteful number, since it uses less digits than its factorization.

11123000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278106 (or 4278097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11123000200 its reverse (200032111), we get a palindrome (11323032311).

The spelling of 11123000200 in words is "eleven billion, one hundred twenty-three million, two hundred", and thus it is an aban number.

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 4278077 8556154 17112308 21390385 34224616 42780770 55615001 85561540 106951925 111230002 171123080 213903850 222460004 278075005 427807700 444920008 556150010 855615400 1112300020 1390375025 2224600040 2780750050 5561500100 11123000200