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220240102121 = 13891733109841
BaseRepresentation
bin1100110100011101010…
…1010100001011101001
3210001110220121101221022
43031013111110023221
512102022431231441
6245102113422225
721624516660044
oct3150725241351
9701426541838
10220240102121
1185448883526
1236825b6a975
13179cb682270
14a934227c5b
155ae031b84b
hex33475542e9

220240102121 has 16 divisors (see below), whose sum is σ = 239987195280. Its totient is φ = 200896481280.

The previous prime is 220240102109. The next prime is 220240102177. The reversal of 220240102121 is 121201042022.

220240102121 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 8 ways, for example, as 3024450025 + 217215652096 = 54995^2 + 466064^2 .

It is a cyclic number.

It is not a de Polignac number, because 220240102121 - 210 = 220240101097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220240102121.

It is not an unprimeable number, because it can be changed into a prime (220240182121) 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 15 ways as a sum of consecutive naturals, for example, 1950161 + ... + 2060001.

It is an arithmetic number, because the mean of its divisors is an integer number (14999199705).

Almost surely, 2220240102121 is an apocalyptic number.

It is an amenable number.

220240102121 is a deficient number, since it is larger than the sum of its proper divisors (19747093159).

220240102121 is a wasteful number, since it uses less digits than its factorization.

220240102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111676.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220240102121 its reverse (121201042022), we get a palindrome (341441144143).

The spelling of 220240102121 in words is "two hundred twenty billion, two hundred forty million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 13 89 1157 1733 22529 109841 154237 1427933 2005081 9775849 127086037 190354453 2474607889 16941546317 220240102121