Search a number
-
+
112110002200 = 23527351722769
BaseRepresentation
bin110100001101001000…
…1101110000000011000
3101201101010202012020201
41220122101232000120
53314100130032300
6123300322231544
711046122203240
oct1503221560030
9351333665221
10112110002200
114360019aa89
12198894b55b4
13a7586aa611
1455d7514b20
152db248866a
hex1a1a46e018

112110002200 has 96 divisors (see below), whose sum is σ = 297990079200. Its totient is φ = 38425098240.

The previous prime is 112110002167. The next prime is 112110002219. The reversal of 112110002200 is 2200011211.

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

It is a congruent number.

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, 4912416 + ... + 4935184.

It is an arithmetic number, because the mean of its divisors is an integer number (3104063325).

Almost surely, 2112110002200 is an apocalyptic number.

112110002200 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 112110002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148995039600).

112110002200 is an abundant number, since it is smaller than the sum of its proper divisors (185880077000).

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

112110002200 is a wasteful number, since it uses less digits than its factorization.

112110002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26309 (or 26300 counting only the distinct ones).

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

Adding to 112110002200 its reverse (2200011211), we get a palindrome (114310013411).

The spelling of 112110002200 in words is "one hundred twelve billion, one hundred ten million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3517 7034 14068 17585 22769 24619 28136 35170 45538 49238 70340 87925 91076 98476 113845 123095 140680 159383 175850 182152 196952 227690 246190 318766 351700 455380 492380 569225 615475 637532 703400 796915 910760 984760 1138450 1230950 1275064 1593830 2276900 2461900 3187660 3984575 4553800 4923800 6375320 7969150 15938300 31876600 80078573 160157146 320314292 400392865 560550011 640628584 800785730 1121100022 1601571460 2001964325 2242200044 2802750055 3203142920 4003928650 4484400088 5605500110 8007857300 11211000220 14013750275 16015714600 22422000440 28027500550 56055001100 112110002200