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100112022200 = 23521956946301
BaseRepresentation
bin101110100111100100…
…1000011101010111000
3100120101222102122211002
41131033021003222320
53120012134202300
6113554004024132
710142604101561
oct1351711035270
9316358378732
10100112022200
1139503699033
121749b392048
139595aa2378
144bb9ca1168
15290deb65d5
hex174f243ab8

100112022200 has 96 divisors (see below), whose sum is σ = 245446902000. Its totient is φ = 37869696000.

The previous prime is 100112022193. The next prime is 100112022217. The reversal of 100112022200 is 2220211001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139050 + ... + 2185350.

Almost surely, 2100112022200 is an apocalyptic number.

100112022200 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 100112022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122723451000).

100112022200 is an abundant number, since it is smaller than the sum of its proper divisors (145334879800).

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

100112022200 is a wasteful number, since it uses less digits than its factorization.

100112022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46905 (or 46896 counting only the distinct ones).

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

Adding to 100112022200 its reverse (2220211001), we get a palindrome (102332233201).

The spelling of 100112022200 in words is "one hundred billion, one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 569 760 950 1138 1900 2276 2845 3800 4552 5690 10811 11380 14225 21622 22760 28450 43244 46301 54055 56900 86488 92602 108110 113800 185204 216220 231505 270275 370408 432440 463010 540550 879719 926020 1081100 1157525 1759438 1852040 2162200 2315050 3518876 4398595 4630100 7037752 8797190 9260200 17594380 21992975 26345269 35188760 43985950 52690538 87971900 105381076 131726345 175943800 210762152 263452690 500560111 526905380 658631725 1001120222 1053810760 1317263450 2002240444 2502800555 2634526900 4004480888 5005601110 5269053800 10011202220 12514002775 20022404440 25028005550 50056011100 100112022200