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22220311321 = 1353281114769
BaseRepresentation
bin10100101100011011…
…110000101100011001
32010100120102202210101
4110230123300230121
5331001344430241
614112522215401
71414432346515
oct245433605431
963316382711
1022220311321
11947287185a
124381654561
13213169b310
14110b12d145
158a0b4ae31
hex52c6f0b19

22220311321 has 16 divisors (see below), whose sum is σ = 24468045840. Its totient is φ = 20052264960.

The previous prime is 22220311313. The next prime is 22220311367. The reversal of 22220311321 is 12311302222.

It can be written as a sum of positive squares in 8 ways, for example, as 553943296 + 21666368025 = 23536^2 + 147195^2 .

It is not a de Polignac number, because 22220311321 - 23 = 22220311313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22220311021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136225 + ... + 250993.

It is an arithmetic number, because the mean of its divisors is an integer number (1529252865).

Almost surely, 222220311321 is an apocalyptic number.

It is an amenable number.

22220311321 is a deficient number, since it is larger than the sum of its proper divisors (2247734519).

22220311321 is a wasteful number, since it uses less digits than its factorization.

22220311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115116.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22220311321 its reverse (12311302222), we get a palindrome (34531613543).

Subtracting from 22220311321 its reverse (12311302222), we obtain a palindrome (9909009099).

The spelling of 22220311321 in words is "twenty-two billion, two hundred twenty million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 13 53 281 689 3653 14893 114769 193609 1491997 6082757 32250089 79075841 419251157 1709254717 22220311321