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220122201020211 = 3272499143312971
BaseRepresentation
bin110010000011001100110001…
…100110010101011100110011
31001212101110212122212120211200
4302003030301212111130303
5212322440231430121321
62100054424303342243
764236206226020400
oct6203146146253463
91055343778776750
10220122201020211
11641573349a1576
12208311a78b1983
1395a9585757aa9
143c4dd8564d2a7
151a6ad3c249d26
hexc83331995733

220122201020211 has 18 divisors (see below), whose sum is σ = 369865194912252. Its totient is φ = 125784114868440.

The previous prime is 220122201020179. The next prime is 220122201020219. The reversal of 220122201020211 is 112020102221022.

It is a happy number.

220122201020211 is a `hidden beast` number, since 2 + 201 + 2 + 220 + 10 + 20 + 211 = 666.

It is not a de Polignac number, because 220122201020211 - 25 = 220122201020179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220122201020219) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 249571656045 + ... + 249571656926.

It is an arithmetic number, because the mean of its divisors is an integer number (20548066384014).

Almost surely, 2220122201020211 is an apocalyptic number.

220122201020211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220122201020211 is a deficient number, since it is larger than the sum of its proper divisors (149742993892041).

220122201020211 is a wasteful number, since it uses less digits than its factorization.

220122201020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499143312991 (or 499143312981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220122201020211 its reverse (112020102221022), we get a palindrome (332142303241233).

The spelling of 220122201020211 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred one million, twenty thousand, two hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 499143312971 1497429938913 3494003190797 4492289816739 10482009572391 24458022335579 31446028717173 73374067006737 220122201020211