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122233441301 is a prime number
BaseRepresentation
bin111000111010110101…
…1100100110000010101
3102200111122210011222122
41301311223210300111
54000313230110201
6132053034505325
711555026052036
oct1616553446025
9380448704878
10122233441301
1147925655684
121b833895245
13b6acb2717a
145cb7c0aa8d
1532a60cae1b
hex1c75ae4c15

122233441301 has 2 divisors, whose sum is σ = 122233441302. Its totient is φ = 122233441300.

The previous prime is 122233441283. The next prime is 122233441303. The reversal of 122233441301 is 103144332221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78405600100 + 43827841201 = 280010^2 + 209351^2 .

It is a cyclic number.

It is not a de Polignac number, because 122233441301 - 230 = 121159699477 is a prime.

Together with 122233441303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122233441303) 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, 61116720650 + 61116720651.

It is an arithmetic number, because the mean of its divisors is an integer number (61116720651).

Almost surely, 2122233441301 is an apocalyptic number.

It is an amenable number.

122233441301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233441301 is an equidigital number, since it uses as much as digits as its factorization.

122233441301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122233441301 its reverse (103144332221), we get a palindrome (225377773522).

The spelling of 122233441301 in words is "one hundred twenty-two billion, two hundred thirty-three million, four hundred forty-one thousand, three hundred one".