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2011000112200 = 235210199554461
BaseRepresentation
bin11101010000111000111…
…100101000010001001000
321010020202001111110010001
4131100320330220101020
5230422012012042300
64135501331332344
7265201312626022
oct35207074502110
97106661443101
102011000112200
11705951155a02
122858b3a510b4
131178374caac1
146d49378d012
153749da9016a
hex1d438f28448

2011000112200 has 48 divisors (see below), whose sum is σ = 4721868132660. Its totient is φ = 796435680000.

The previous prime is 2011000112189. The next prime is 2011000112221. The reversal of 2011000112200 is 22110001102.

It can be written as a sum of positive squares in 6 ways, for example, as 1463456350756 + 547543761444 = 1209734^2 + 739962^2 .

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, 49757031 + ... + 49797430.

Almost surely, 22011000112200 is an apocalyptic number.

2011000112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000112200 is an abundant number, since it is smaller than the sum of its proper divisors (2710868020460).

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

2011000112200 is a wasteful number, since it uses less digits than its factorization.

2011000112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99554578 (or 99554569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011000112200 its reverse (22110001102), we get a palindrome (2033110113302).

The spelling of 2011000112200 in words is "two trillion, eleven billion, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 99554461 199108922 398217844 497772305 796435688 995544610 1991089220 2488861525 3982178440 4977723050 9955446100 10055000561 19910892200 20110001122 40220002244 50275002805 80440004488 100550005610 201100011220 251375014025 402200022440 502750028050 1005500056100 2011000112200