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112204043300 = 225219314334057
BaseRepresentation
bin110100001111111100…
…0011101010000100100
3101201121200200222101102
41220133320131100210
53314243213341200
6123313522015232
711051343426446
oct1503770352044
9351550628342
10112204043300
11436492914a8
12198b4aa7518
13a772015a3b
145605bd4496
152dba8626d5
hex1a1fe1d424

112204043300 has 72 divisors (see below), whose sum is σ = 244975502856. Its totient is φ = 44606914560.

The previous prime is 112204043299. The next prime is 112204043317. The reversal of 112204043300 is 3340402211.

112204043300 is digitally balanced in base 3, 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 12 ways, for example, as 24281118976 + 87922924324 = 155824^2 + 296518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27654872 + ... + 27658928.

Almost surely, 2112204043300 is an apocalyptic number.

112204043300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112204043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122487751428).

112204043300 is an abundant number, since it is smaller than the sum of its proper divisors (132771459556).

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

112204043300 is a wasteful number, since it uses less digits than its factorization.

112204043300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112204043300 its reverse (3340402211), we get a palindrome (115544445511).

The spelling of 112204043300 in words is "one hundred twelve billion, two hundred four million, forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1433 1930 2866 3860 4057 4825 5732 7165 8114 9650 14330 16228 19300 20285 28660 35825 40570 71650 81140 101425 143300 202850 276569 405700 553138 783001 1106276 1382845 1566002 2765690 3132004 3915005 5531380 5813681 6914225 7830010 11627362 13828450 15660020 19575025 23254724 27656900 29068405 39150050 58136810 78300100 116273620 145342025 290684050 581368100 1122040433 2244080866 4488161732 5610202165 11220404330 22440808660 28051010825 56102021650 112204043300