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122224432441 is a prime number
BaseRepresentation
bin111000111010100100…
…1001101010100111001
3102200111000211111011011
41301311021031110321
54000303423314231
6132052113433521
711554556351116
oct1616511152471
9380430744134
10122224432441
1147920562141
121b83086b8a1
13b6aacc1797
145cb694390d
1532a53eb9b1
hex1c7524d539

122224432441 has 2 divisors, whose sum is σ = 122224432442. Its totient is φ = 122224432440.

The previous prime is 122224432439. The next prime is 122224432453. The reversal of 122224432441 is 144234422221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87628432441 + 34596000000 = 296021^2 + 186000^2 .

It is a cyclic number.

It is not a de Polignac number, because 122224432441 - 21 = 122224432439 is a prime.

Together with 122224432439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122224432541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61112216220 + 61112216221.

It is an arithmetic number, because the mean of its divisors is an integer number (61112216221).

Almost surely, 2122224432441 is an apocalyptic number.

It is an amenable number.

122224432441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122224432441 is an equidigital number, since it uses as much as digits as its factorization.

122224432441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24576, while the sum is 31.

Adding to 122224432441 its reverse (144234422221), we get a palindrome (266458854662).

The spelling of 122224432441 in words is "one hundred twenty-two billion, two hundred twenty-four million, four hundred thirty-two thousand, four hundred forty-one".