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220211202221120 = 2651162560000631
BaseRepresentation
bin110010000100011111101010…
…011110111110010001000000
31001212200222121022100001012002
4302010133222132332101000
5212330420020232033440
62100203344004123132
764245506606524265
oct6204375236762100
91055628538301162
10220211202221120
116419105683a070
12208464a60964a8
1395b4a9a670696
143c543c9a3326c
151a6d2eaa81115
hexc847ea7be440

220211202221120 has 56 divisors (see below), whose sum is σ = 572048645779008. Its totient is φ = 80076800806400.

The previous prime is 220211202221119. The next prime is 220211202221149. The reversal of 220211202221120 is 21122202112022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220211202221092 and 220211202221101.

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 7 ways as a sum of consecutive naturals, for example, 31279996796 + ... + 31280003835.

Almost surely, 2220211202221120 is an apocalyptic number.

220211202221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211202221120 is an abundant number, since it is smaller than the sum of its proper divisors (351837443557888).

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

220211202221120 is a wasteful number, since it uses less digits than its factorization.

220211202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62560000659 (or 62560000649 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220211202221120 its reverse (21122202112022), we get a palindrome (241333404333142).

The spelling of 220211202221120 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 62560000631 125120001262 250240002524 312800003155 500480005048 625600006310 688160006941 1000960010096 1251200012620 1376320013882 2001920020192 2502400025240 2752640027764 3440800034705 4003840040384 5004800050480 5505280055528 6881600069410 10009600100960 11010560111056 13763200138820 20019200201920 22021120222112 27526400277640 44042240444224 55052800555280 110105601110560 220211202221120