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2200111120 = 24527501389
BaseRepresentation
bin1000001100100011…
…0000100000010000
312200022220020002001
42003020300200100
514001212023440
61002152003344
7105343431064
oct20310604020
95608806061
102200111120
11a299a6059
12514990554
13290a700cc
1416c2a9aa4
15cd23eb9a
hex83230810

2200111120 has 20 divisors (see below), whose sum is σ = 5115258540. Its totient is φ = 880044416.

The previous prime is 2200111097. The next prime is 2200111141. The reversal of 2200111120 is 211110022.

It can be written as a sum of positive squares in 2 ways, for example, as 290770704 + 1909340416 = 17052^2 + 43696^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×22001111203 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200111097 and 2200111106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13750615 + ... + 13750774.

It is an arithmetic number, because the mean of its divisors is an integer number (255762927).

Almost surely, 22200111120 is an apocalyptic number.

2200111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200111120 is an abundant number, since it is smaller than the sum of its proper divisors (2915147420).

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

2200111120 is a wasteful number, since it uses less digits than its factorization.

2200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27501402 (or 27501396 counting only the distinct ones).

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

The square root of 2200111120 is about 46905.3421264572. The cubic root of 2200111120 is about 1300.6133437133.

Adding to 2200111120 its reverse (211110022), we get a palindrome (2411221142).

The spelling of 2200111120 in words is "two billion, two hundred million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27501389 55002778 110005556 137506945 220011112 275013890 440022224 550027780 1100055560 2200111120