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221121000241 is a prime number
BaseRepresentation
bin1100110111101111010…
…1101011001100110001
3210010202022011122222121
43031323311223030301
512110323434001431
6245325342234241
721655404330121
oct3157365531461
9703668148877
10221121000241
11858600492a9
1236a30b85981
1317b0c01b25b
14a9b9210c81
155b42823611
hex337bd6b331

221121000241 has 2 divisors, whose sum is σ = 221121000242. Its totient is φ = 221121000240.

The previous prime is 221121000197. The next prime is 221121000263. The reversal of 221121000241 is 142000121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181557801216 + 39563199025 = 426096^2 + 198905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221121000241 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121000281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560500120 + 110560500121.

It is an arithmetic number, because the mean of its divisors is an integer number (110560500121).

Almost surely, 2221121000241 is an apocalyptic number.

It is an amenable number.

221121000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121000241 is an equidigital number, since it uses as much as digits as its factorization.

221121000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221121000241 its reverse (142000121122), we get a palindrome (363121121363).

The spelling of 221121000241 in words is "two hundred twenty-one billion, one hundred twenty-one million, two hundred forty-one", and thus it is an aban number.