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112220100200 = 23521383520019
BaseRepresentation
bin110100010000011010…
…1101101011001101000
3101201122210220202022102
41220200311231121220
53314311321201300
6123315254112532
711051630053535
oct1504065553150
9351583822272
10112220100200
114365735926a
12198ba34b748
13a775448470
145607db3d8c
152dbbe850d5
hex1a20d6d668

112220100200 has 96 divisors (see below), whose sum is σ = 284367736800. Its totient is φ = 40935816960.

The previous prime is 112220100173. The next prime is 112220100233. The reversal of 112220100200 is 2001022211.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 44210 + ... + 475809.

It is an arithmetic number, because the mean of its divisors is an integer number (2962163925).

Almost surely, 2112220100200 is an apocalyptic number.

112220100200 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 112220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142183868400).

112220100200 is an abundant number, since it is smaller than the sum of its proper divisors (172147636600).

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

112220100200 is a wasteful number, since it uses less digits than its factorization.

112220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520131 (or 520122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112220100200 its reverse (2001022211), we get a palindrome (114221122411).

The spelling of 112220100200 in words is "one hundred twelve billion, two hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 83 100 104 130 166 200 260 325 332 415 520 650 664 830 1079 1300 1660 2075 2158 2600 3320 4150 4316 5395 8300 8632 10790 16600 21580 26975 43160 53950 107900 215800 520019 1040038 2080076 2600095 4160152 5200190 6760247 10400380 13000475 13520494 20800760 26000950 27040988 33801235 43161577 52001900 54081976 67602470 86323154 104003800 135204940 169006175 172646308 215807885 270409880 338012350 345292616 431615770 561100501 676024700 863231540 1079039425 1122201002 1352049400 1726463080 2158078850 2244402004 2805502505 4316157700 4488804008 5611005010 8632315400 11222010020 14027512525 22444020040 28055025050 56110050100 112220100200