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2213323212321 = 321386692182177
BaseRepresentation
bin100000001101010100010…
…110000000011000100001
321211120222022002211212200
4200031110112000120201
5242230341220243241
64412441525443413
7315623132614464
oct40152426003041
97746868084780
102213323212321
11783735285661
122b8b59570569
1313093bbbc620
14791a81d32db
153c890e4a4b6
hex20354580621

2213323212321 has 24 divisors (see below), whose sum is σ = 3443345953320. Its totient is φ = 1361887312896.

The previous prime is 2213323212319. The next prime is 2213323212329. The reversal of 2213323212321 is 1232123233122.

2213323212321 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 323 + 2 + 12 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 652087296 + 2212671125025 = 25536^2 + 1487505^2 .

It is not a de Polignac number, because 2213323212321 - 21 = 2213323212319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2213323212329) 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, 76816 + ... + 2105361.

It is an arithmetic number, because the mean of its divisors is an integer number (143472748055).

Almost surely, 22213323212321 is an apocalyptic number.

It is an amenable number.

2213323212321 is a deficient number, since it is larger than the sum of its proper divisors (1230022740999).

2213323212321 is a wasteful number, since it uses less digits than its factorization.

2213323212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190865 (or 2190862 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2213323212321 its reverse (1232123233122), we get a palindrome (3445446445443).

The spelling of 2213323212321 in words is "two trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 8669 26007 78021 112697 338091 1014273 2182177 6546531 19639593 28368301 85104903 255314709 18917292413 56751877239 170255631717 245924801369 737774404107 2213323212321