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22201310321 is a prime number
BaseRepresentation
bin10100101011010011…
…010001110001110001
32010022020200102022122
4110223103101301301
5330432013412241
614111003044025
71414112011151
oct245323216161
963266612278
1022201310321
119463074053
124377210615
13212a777818
1411087c4761
1589e14604b
hex52b4d1c71

22201310321 has 2 divisors, whose sum is σ = 22201310322. Its totient is φ = 22201310320.

The previous prime is 22201310279. The next prime is 22201310353. The reversal of 22201310321 is 12301310222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17323824400 + 4877485921 = 131620^2 + 69839^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22201310321 is a prime.

It is a super-2 number, since 2×222013103212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22201310321.

It is not a weakly prime, because it can be changed into another prime (22201510321) 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 as a sum of consecutive naturals, namely, 11100655160 + 11100655161.

It is an arithmetic number, because the mean of its divisors is an integer number (11100655161).

Almost surely, 222201310321 is an apocalyptic number.

It is an amenable number.

22201310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22201310321 is an equidigital number, since it uses as much as digits as its factorization.

22201310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22201310321 its reverse (12301310222), we get a palindrome (34502620543).

Subtracting from 22201310321 its reverse (12301310222), we obtain a palindrome (9900000099).

The spelling of 22201310321 in words is "twenty-two billion, two hundred one million, three hundred ten thousand, three hundred twenty-one".