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2221303113 = 321732174513
BaseRepresentation
bin1000010001100110…
…0110010101001001
312201210202220000200
42010121212111021
514022123144423
61004230122413
7106021523241
oct20431462511
95653686020
102221303113
11a3a95a9a7
1251bab0409
1329527cc53
14171024b21
15d0028d43
hex84666549

2221303113 has 24 divisors (see below), whose sum is σ = 3399096168. Its totient is φ = 1393016832.

The previous prime is 2221303093. The next prime is 2221303121. The reversal of 2221303113 is 3113031222.

2221303113 is a `hidden beast` number, since 222 + 130 + 311 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 323568144 + 1897734969 = 17988^2 + 43563^2 .

It is not a de Polignac number, because 2221303113 - 25 = 2221303081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221303163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489945 + ... + 494457.

It is an arithmetic number, because the mean of its divisors is an integer number (141629007).

Almost surely, 22221303113 is an apocalyptic number.

It is an amenable number.

2221303113 is a deficient number, since it is larger than the sum of its proper divisors (1177793055).

2221303113 is a wasteful number, since it uses less digits than its factorization.

2221303113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2221303113 is about 47130.7024454336. The cubic root of 2221303113 is about 1304.7759460328.

Adding to 2221303113 its reverse (3113031222), we get a palindrome (5334334335).

The spelling of 2221303113 in words is "two billion, two hundred twenty-one million, three hundred three thousand, one hundred thirteen".

Divisors: 1 3 9 17 51 153 3217 4513 9651 13539 28953 40617 54689 76721 164067 230163 492201 690489 14518321 43554963 130664889 246811457 740434371 2221303113