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220221210121 = 11210118019901
BaseRepresentation
bin1100110100011000110…
…1001111111000001001
3210001102121001120222121
43031012031033320021
512102003112210441
6245100200451241
721624200254243
oct3150615177011
9701377046877
10220221210121
118543914a700
123681b779b21
13179c7799273
14a93190b093
155add838dd1
hex334634fe09

220221210121 has 12 divisors (see below), whose sum is σ = 244457990532. Its totient is φ = 198218900000.

The previous prime is 220221210109. The next prime is 220221210197. The reversal of 220221210121 is 121012122022.

It is a happy number.

220221210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122352344521 + 97868865600 = 349789^2 + 312840^2 .

It is not a de Polignac number, because 220221210121 - 211 = 220221208073 is a prime.

It is a super-3 number, since 3×2202212101213 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220221210095 and 220221210104.

It is not an unprimeable number, because it can be changed into a prime (220221210421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8997730 + ... + 9022171.

It is an arithmetic number, because the mean of its divisors is an integer number (20371499211).

Almost surely, 2220221210121 is an apocalyptic number.

It is an amenable number.

220221210121 is a deficient number, since it is larger than the sum of its proper divisors (24236780411).

220221210121 is a wasteful number, since it uses less digits than its factorization.

220221210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020024 (or 18020013 counting only the distinct ones).

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

Adding to 220221210121 its reverse (121012122022), we get a palindrome (341233332143).

The spelling of 220221210121 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 18019901 198218911 1820010001 2180408021 20020110011 220221210121