Search a number
-
+
200212220010020 = 22510199114960401
BaseRepresentation
bin101101100001011110001010…
…010000001101111000100100
3222020220002201212000120102112
4231201132022100031320210
5202220234111310310040
61545452120224500152
760112566311533061
oct5541361220157044
9866802655016375
10200212220010020
1158880586745989
121a55657747a658
138793c151b49ca
143762474a33c68
151822ea5242365
hexb6178a40de24

200212220010020 has 24 divisors (see below), whose sum is σ = 424608490362168. Its totient is φ = 79291968320000.

The previous prime is 200212220009983. The next prime is 200212220010041. The reversal of 200212220010020 is 20010022212002.

It can be written as a sum of positive squares in 4 ways, for example, as 142878368674276 + 57333851335744 = 11953174^2 + 7571912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200212220009977 and 200212220010004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49557478181 + ... + 49557482220.

It is an arithmetic number, because the mean of its divisors is an integer number (17692020431757).

Almost surely, 2200212220010020 is an apocalyptic number.

200212220010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220010020 is an abundant number, since it is smaller than the sum of its proper divisors (224396270352148).

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

200212220010020 is a wasteful number, since it uses less digits than its factorization.

200212220010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99114960511 (or 99114960509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200212220010020 its reverse (20010022212002), we get a palindrome (220222242222022).

The spelling of 200212220010020 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 99114960401 198229920802 396459841604 495574802005 991149604010 1982299208020 10010611000501 20021222001002 40042444002004 50053055002505 100106110005010 200212220010020