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2220201313 = 111372336323
BaseRepresentation
bin1000010001010101…
…1001010101100001
312201201200220122021
42010111121111201
514021332420223
61004150341441
7106006254061
oct20425312541
95651626567
102220201313
11a3a278120
1251b65a881
13294c855b5
14170c193a1
15cedac65d
hex84559561

2220201313 has 16 divisors (see below), whose sum is σ = 2450575296. Its totient is φ = 1994717440.

The previous prime is 2220201301. The next prime is 2220201337. The reversal of 2220201313 is 3131020222.

It is a cyclic number.

It is not a de Polignac number, because 2220201313 - 213 = 2220193121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220201013) 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 15 ways as a sum of consecutive naturals, for example, 347970 + ... + 354292.

It is an arithmetic number, because the mean of its divisors is an integer number (153160956).

Almost surely, 22220201313 is an apocalyptic number.

It is an amenable number.

2220201313 is a deficient number, since it is larger than the sum of its proper divisors (230373983).

2220201313 is a wasteful number, since it uses less digits than its factorization.

2220201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2220201313 is about 47119.0122243665. The cubic root of 2220201313 is about 1304.5601808084.

Adding to 2220201313 its reverse (3131020222), we get a palindrome (5351221535).

The spelling of 2220201313 in words is "two billion, two hundred twenty million, two hundred one thousand, three hundred thirteen".

Divisors: 1 11 137 233 1507 2563 6323 31921 69553 351131 866251 1473259 9528761 16205849 201836483 2220201313