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224144320321 is a prime number
BaseRepresentation
bin1101000011000000001…
…0101110011101000001
3210102120000002020110101
43100300002232131001
512133021421222241
6250545342402401
722123335200305
oct3206002563501
9712500066411
10224144320321
1187071697439
1237535590401
13181a14a914c
14abc4967d05
155c6ce71e31
hex34300ae741

224144320321 has 2 divisors, whose sum is σ = 224144320322. Its totient is φ = 224144320320.

The previous prime is 224144320319. The next prime is 224144320349. The reversal of 224144320321 is 123023441422.

It is an a-pointer prime, because the next prime (224144320349) can be obtained adding 224144320321 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136042207921 + 88102112400 = 368839^2 + 296820^2 .

It is a cyclic number.

It is not a de Polignac number, because 224144320321 - 21 = 224144320319 is a prime.

Together with 224144320319, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 224144320321.

It is not a weakly prime, because it can be changed into another prime (224144320021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112072160160 + 112072160161.

It is an arithmetic number, because the mean of its divisors is an integer number (112072160161).

Almost surely, 2224144320321 is an apocalyptic number.

It is an amenable number.

224144320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

224144320321 is an equidigital number, since it uses as much as digits as its factorization.

224144320321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 224144320321 its reverse (123023441422), we get a palindrome (347167761743).

The spelling of 224144320321 in words is "two hundred twenty-four billion, one hundred forty-four million, three hundred twenty thousand, three hundred twenty-one".