Search a number
-
+
221012110110220 = 22511132912497213229
BaseRepresentation
bin110010010000001001100100…
…010100000110111000001100
31001222112112212221211022212221
4302100021210110012320030
5212432030300142011340
62102015321155505124
764360412056333312
oct6220114424067014
91058475787738787
10221012110110220
116446a789424330
12209557645b81a4
139642477746530
143c810867aa0b2
151a8407390c44a
hexc90264506e0c

221012110110220 has 192 divisors, whose sum is σ = 564116306947200. Its totient is φ = 71621681725440.

The previous prime is 221012110110193. The next prime is 221012110110251. The reversal of 221012110110220 is 22011011210122.

It is a junction number, because it is equal to n+sod(n) for n = 221012110110194 and 221012110110203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036394566 + ... + 1036607794.

It is an arithmetic number, because the mean of its divisors is an integer number (2938105765350).

Almost surely, 2221012110110220 is an apocalyptic number.

221012110110220 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 221012110110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282058153473600).

221012110110220 is an abundant number, since it is smaller than the sum of its proper divisors (343104196836980).

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

221012110110220 is a wasteful number, since it uses less digits than its factorization.

221012110110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225788 (or 225786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221012110110220 its reverse (22011011210122), we get a palindrome (243023121320342).

The spelling of 221012110110220 in words is "two hundred twenty-one trillion, twelve billion, one hundred ten million, one hundred ten thousand, two hundred twenty".