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122223444041 is a prime number
BaseRepresentation
bin111000111010100010…
…1011100000001001001
3102200110221222021022202
41301311011130001021
54000303200202131
6132052040325545
711554545063356
oct1616505340111
9380427867282
10122223444041
114791aa47586
121b8304738b5
13b6aaa3692a
145cb676762d
1532a52a3bcb
hex1c7515c049

122223444041 has 2 divisors, whose sum is σ = 122223444042. Its totient is φ = 122223444040.

The previous prime is 122223443987. The next prime is 122223444043. The reversal of 122223444041 is 140444322221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91748410000 + 30475034041 = 302900^2 + 174571^2 .

It is a cyclic number.

It is not a de Polignac number, because 122223444041 - 214 = 122223427657 is a prime.

Together with 122223444043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122223443995 and 122223444013.

It is not a weakly prime, because it can be changed into another prime (122223444043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111722020 + 61111722021.

It is an arithmetic number, because the mean of its divisors is an integer number (61111722021).

Almost surely, 2122223444041 is an apocalyptic number.

It is an amenable number.

122223444041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122223444041 is an equidigital number, since it uses as much as digits as its factorization.

122223444041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 122223444041 its reverse (140444322221), we get a palindrome (262667766262).

The spelling of 122223444041 in words is "one hundred twenty-two billion, two hundred twenty-three million, four hundred forty-four thousand, forty-one".