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221323302241 is a prime number
BaseRepresentation
bin1100111000011111100…
…1011001010101100001
3210011021101211200011021
43032013321121111201
512111232231132431
6245401410245441
721663412012636
oct3160771312541
9704241750137
10221323302241
1185954263838
1236a88886881
1317b41c00292
14a9d803218d
155b55484b11
hex3387e59561

221323302241 has 2 divisors, whose sum is σ = 221323302242. Its totient is φ = 221323302240.

The previous prime is 221323302197. The next prime is 221323302281. The reversal of 221323302241 is 142203323122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132790275216 + 88533027025 = 364404^2 + 297545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221323302241 is a prime.

It is a super-3 number, since 3×2213233022413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (221323302281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110661651120 + 110661651121.

It is an arithmetic number, because the mean of its divisors is an integer number (110661651121).

Almost surely, 2221323302241 is an apocalyptic number.

It is an amenable number.

221323302241 is a deficient number, since it is larger than the sum of its proper divisors (1).

221323302241 is an equidigital number, since it uses as much as digits as its factorization.

221323302241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 221323302241 its reverse (142203323122), we get a palindrome (363526625363).

The spelling of 221323302241 in words is "two hundred twenty-one billion, three hundred twenty-three million, three hundred two thousand, two hundred forty-one".