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21200112 = 24322337173
BaseRepresentation
bin101000011011…
…1110011110000
31110220002002100
41100313303300
520411400422
62034220400
7345124623
oct120676360
943802070
1021200112
1110a6aa5a
127124700
13451375b
142b5bdba
151cdb7ac
hex1437cf0

21200112 has 120 divisors (see below), whose sum is σ = 63951264. Its totient is φ = 6538752.

The previous prime is 21200093. The next prime is 21200117. The reversal of 21200112 is 21100212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21200094 and 21200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122458 + ... + 122630.

Almost surely, 221200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31975632).

21200112 is an abundant number, since it is smaller than the sum of its proper divisors (42751152).

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

21200112 is a wasteful number, since it uses less digits than its factorization.

21200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21200112 is about 4604.3579356953. The cubic root of 21200112 is about 276.7659881138.

Adding to 21200112 its reverse (21100212), we get a palindrome (42300324).

It can be divided in two parts, 21200 and 112, that added together give a palindrome (21312).

The spelling of 21200112 in words is "twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 37 46 48 69 72 74 92 111 138 144 148 173 184 207 222 276 296 333 346 368 414 444 519 552 592 666 692 828 851 888 1038 1104 1332 1384 1557 1656 1702 1776 2076 2553 2664 2768 3114 3312 3404 3979 4152 5106 5328 6228 6401 6808 7659 7958 8304 10212 11937 12456 12802 13616 15318 15916 19203 20424 23874 24912 25604 30636 31832 35811 38406 40848 47748 51208 57609 61272 63664 71622 76812 95496 102416 115218 122544 143244 147223 153624 190992 230436 286488 294446 307248 441669 460872 572976 588892 883338 921744 1177784 1325007 1766676 2355568 2650014 3533352 5300028 7066704 10600056 21200112