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223221030320213 is a prime number
BaseRepresentation
bin110010110000010010110010…
…001101111111100001010101
31002021100201111101220111001022
4302300102302031333201111
5213224223132230221323
62110430154202010525
765006121136326452
oct6260226215774125
91067321441814038
10223221030320213
116514156428a092
12210518934a6a45
139772864391423
143d19d53d02829
151ac17580294c8
hexcb04b237f855

223221030320213 has 2 divisors, whose sum is σ = 223221030320214. Its totient is φ = 223221030320212.

The previous prime is 223221030320207. The next prime is 223221030320261. The reversal of 223221030320213 is 312023030122322.

223221030320213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222945302410609 + 275727909604 = 14931353^2 + 525098^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221030320213 - 26 = 223221030320149 is a prime.

It is a super-3 number, since 3×2232210303202133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223221030328213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610515160106 + 111610515160107.

It is an arithmetic number, because the mean of its divisors is an integer number (111610515160107).

Almost surely, 2223221030320213 is an apocalyptic number.

It is an amenable number.

223221030320213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221030320213 is an equidigital number, since it uses as much as digits as its factorization.

223221030320213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 223221030320213 its reverse (312023030122322), we get a palindrome (535244060442535).

The spelling of 223221030320213 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, thirty million, three hundred twenty thousand, two hundred thirteen".