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200122110210220 = 225114394787432857
BaseRepresentation
bin101101100000001010001111…
…010010100111000010101100
3222020120111010221112110021221
4231200022033102213002230
5202212300040203211340
61545342454523033124
760103226310060352
oct5540121722470254
9866514127473257
10200122110210220
115884634604a660
121a54100996b7a4
1387885846ca543
14375bd673137d2
15182097e42744a
hexb6028f4a70ac

200122110210220 has 96 divisors (see below), whose sum is σ = 459602945303040. Its totient is φ = 72590574512640.

The previous prime is 200122110210163. The next prime is 200122110210221. The reversal of 200122110210220 is 22012011221002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200122110210194 and 200122110210203.

It is not an unprimeable number, because it can be changed into a prime (200122110210221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462112032 + ... + 462544888.

It is an arithmetic number, because the mean of its divisors is an integer number (4787530680240).

Almost surely, 2200122110210220 is an apocalyptic number.

200122110210220 is a gapful number since it is divisible by the number (20) 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 200122110210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229801472651520).

200122110210220 is an abundant number, since it is smaller than the sum of its proper divisors (259480835092820).

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

200122110210220 is a wasteful number, since it uses less digits than its factorization.

200122110210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438103 (or 438101 counting only the distinct ones).

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

Adding to 200122110210220 its reverse (22012011221002), we get a palindrome (222134121431222).

The spelling of 200122110210220 in words is "two hundred trillion, one hundred twenty-two billion, one hundred ten million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 439 878 1756 2195 4390 4787 4829 8780 9574 9658 19148 19316 23935 24145 47870 48290 52657 95740 96580 105314 210628 263285 432857 526570 865714 1053140 1731428 2101493 2164285 4202986 4328570 4761427 8405972 8657140 9522854 10507465 19045708 21014930 23116423 23807135 42029860 46232846 47614270 92465692 95228540 115582115 190024223 231164230 380048446 462328460 760096892 950121115 1900242230 2072086459 2090266453 3800484460 4144172918 4180532906 8288345836 8361065812 10360432295 10451332265 20720864590 20902664530 22792951049 41441729180 41805329060 45585902098 91171804196 113964755245 227929510490 455859020980 909645955501 1819291911002 3638583822004 4548229777505 9096459555010 10006105510511 18192919110020 20012211021022 40024422042044 50030527552555 100061055105110 200122110210220