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2221313301 = 3610130169
BaseRepresentation
bin1000010001100110…
…1000110100010101
312201210210102000000
42010121220310111
514022124011201
61004230241513
7106021565034
oct20431506425
95653712000
102221313301
11a3a967619
1251bab6299
1329528478c
1417102871b
15d002bd86
hex84668d15

2221313301 has 28 divisors (see below), whose sum is σ = 3363532620. Its totient is φ = 1466164800.

The previous prime is 2221313299. The next prime is 2221313309. The reversal of 2221313301 is 1033131222.

It can be written as a sum of positive squares in 2 ways, for example, as 1796912100 + 424401201 = 42390^2 + 20601^2 .

It is not a de Polignac number, because 2221313301 - 21 = 2221313299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221313309) 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 27 ways as a sum of consecutive naturals, for example, 58545 + ... + 88713.

It is an arithmetic number, because the mean of its divisors is an integer number (120126165).

Almost surely, 22221313301 is an apocalyptic number.

It is an amenable number.

2221313301 is a deficient number, since it is larger than the sum of its proper divisors (1142219319).

2221313301 is an equidigital number, since it uses as much as digits as its factorization.

2221313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30288 (or 30273 counting only the distinct ones).

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

The square root of 2221313301 is about 47130.8105277217. The cubic root of 2221313301 is about 1304.7779408134. Note that the first 3 decimals are identical.

Adding to 2221313301 its reverse (1033131222), we get a palindrome (3254444523).

The spelling of 2221313301 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 27 81 101 243 303 729 909 2727 8181 24543 30169 73629 90507 271521 814563 2443689 3047069 7331067 9141207 21993201 27423621 82270863 246812589 740437767 2221313301