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1100112200 = 2352111014951
BaseRepresentation
bin100000110010010…
…0110000101001000
32211200001111020022
41001210212011020
54223112042300
6301055120012
736155541125
oct10144460510
92750044208
101100112200
11514a91640
12268513008
13146bbca85
14a616b74c
15668a9285
hex41926148

1100112200 has 96 divisors (see below), whose sum is σ = 2818480320. Its totient is φ = 396000000.

The previous prime is 1100112197. The next prime is 1100112229. The reversal of 1100112200 is 22110011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

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, 219725 + ... + 224675.

It is an arithmetic number, because the mean of its divisors is an integer number (29359170).

Almost surely, 21100112200 is an apocalyptic number.

1100112200 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 1100112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409240160).

1100112200 is an abundant number, since it is smaller than the sum of its proper divisors (1718368120).

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

1100112200 is a wasteful number, since it uses less digits than its factorization.

1100112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100112200 is about 33167.9393390666. The cubic root of 1100112200 is about 1032.3152117870.

Adding to 1100112200 its reverse (22110011), we get a palindrome (1122222211).

It can be divided in two parts, 110011 and 2200, that added together give a palindrome (112211).

The spelling of 1100112200 in words is "one billion, one hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 4951 5050 5555 8888 9902 10100 11110 19804 20200 22220 24755 27775 39608 44440 49510 54461 55550 99020 108922 111100 123775 198040 217844 222200 247550 272305 435688 495100 500051 544610 990200 1000102 1089220 1361525 2000204 2178440 2500255 2723050 4000408 5000510 5446100 5500561 10001020 10892200 11001122 12501275 20002040 22002244 25002550 27502805 44004488 50005100 55005610 100010200 110011220 137514025 220022440 275028050 550056100 1100112200