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22221003361 is a prime number
BaseRepresentation
bin10100101100011110…
…011001101001100001
32010100121201221002111
4110230132121221201
5331002034101421
614112545115321
71414441261234
oct245436315141
963317657074
1022221003361
1194731a4797
124381928b41
1321318812cb
14110b26d41b
158a0c35ee1
hex52c799a61

22221003361 has 2 divisors, whose sum is σ = 22221003362. Its totient is φ = 22221003360.

The previous prime is 22221003359. The next prime is 22221003377. The reversal of 22221003361 is 16330012222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21092043361 + 1128960000 = 145231^2 + 33600^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221003361 - 21 = 22221003359 is a prime.

Together with 22221003359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22221003461) 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, 11110501680 + 11110501681.

It is an arithmetic number, because the mean of its divisors is an integer number (11110501681).

Almost surely, 222221003361 is an apocalyptic number.

It is an amenable number.

22221003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221003361 is an equidigital number, since it uses as much as digits as its factorization.

22221003361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22221003361 its reverse (16330012222), we get a palindrome (38551015583).

The spelling of 22221003361 in words is "twenty-two billion, two hundred twenty-one million, three thousand, three hundred sixty-one".