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2213302113 = 321122032417
BaseRepresentation
bin1000001111101100…
…0100111101100001
312201020201101201100
42003323010331201
514013101131423
61003342425013
7105563520561
oct20373047541
95636641640
102213302113
11a36395700
12519292169
1329370b229
1416dd40da1
15ce498343
hex83ec4f61

2213302113 has 18 divisors (see below), whose sum is σ = 3514050722. Its totient is φ = 1341394560.

The previous prime is 2213302103. The next prime is 2213302123. The reversal of 2213302113 is 3112033122.

2213302113 is a `hidden beast` number, since 221 + 330 + 2 + 113 = 666.

2213302113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2213302103) and next prime (2213302123).

It can be written as a sum of positive squares in only one way, i.e., 1488184929 + 725117184 = 38577^2 + 26928^2 .

It is not a de Polignac number, because 2213302113 - 213 = 2213293921 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213302103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1015120 + ... + 1017297.

Almost surely, 22213302113 is an apocalyptic number.

It is an amenable number.

2213302113 is a deficient number, since it is larger than the sum of its proper divisors (1300748609).

2213302113 is a wasteful number, since it uses less digits than its factorization.

2213302113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032445 (or 2032431 counting only the distinct ones).

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

The square root of 2213302113 is about 47045.7448979182. The cubic root of 2213302113 is about 1303.2074865716.

Adding to 2213302113 its reverse (3112033122), we get a palindrome (5325335235).

The spelling of 2213302113 in words is "two billion, two hundred thirteen million, three hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 2032417 6097251 18291753 22356587 67069761 201209283 245922457 737767371 2213302113