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220200211221100 = 2252111011982000101
BaseRepresentation
bin110010000100010101011011…
…010111101000101001101100
31001212122221020022211101121021
4302010111123113220221230
5212330230013033033400
62100154325220543524
764244640336544405
oct6204253327505154
91055587208741537
10220200211221100
1164187426699080
1220844339251ba4
1395b3a38577686
143c53a660269ac
151a6cda5bbd71a
hexc8455b5e8a6c

220200211221100 has 72 divisors (see below), whose sum is σ = 526435083092016. Its totient is φ = 79280004000000.

The previous prime is 220200211221083. The next prime is 220200211221113. The reversal of 220200211221100 is 1122112002022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990888951 + ... + 991111150.

It is an arithmetic number, because the mean of its divisors is an integer number (7311598376278).

Almost surely, 2220200211221100 is an apocalyptic number.

220200211221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200211221100 is an abundant number, since it is smaller than the sum of its proper divisors (306234871870916).

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

220200211221100 is a wasteful number, since it uses less digits than its factorization.

220200211221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982000227 (or 1982000220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220200211221100 its reverse (1122112002022), we get a palindrome (221322323223122).

The spelling of 220200211221100 in words is "two hundred twenty trillion, two hundred billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1982000101 3964000202 7928000404 9910000505 19820001010 21802001111 39640002020 43604002222 49550002525 87208004444 99100005050 109010005555 198200010100 200182010201 218020011110 400364020402 436040022220 545050027775 800728040804 1000910051005 1090100055550 2001820102010 2180200111100 2202002112211 4003640204020 4404004224422 5004550255025 8808008448844 10009100510050 11010010561055 20018201020100 22020021122110 44040042244220 55050052805275 110100105610550 220200211221100