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122113311241 is a prime number
BaseRepresentation
bin111000110111010000…
…1010100001000001001
3102200012021201221112011
41301232201110020021
54000042001424431
6132033104015521
711552040006445
oct1615641241011
9380167657464
10122113311241
1147873865139
121b7bb6015a1
13b690c85cac
145ca5c99825
15329a79bcb1
hex1c6e854209

122113311241 has 2 divisors, whose sum is σ = 122113311242. Its totient is φ = 122113311240.

The previous prime is 122113311209. The next prime is 122113311289. The reversal of 122113311241 is 142113311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98284758016 + 23828553225 = 313504^2 + 154365^2 .

It is a cyclic number.

It is not a de Polignac number, because 122113311241 - 25 = 122113311209 is a prime.

It is not a weakly prime, because it can be changed into another prime (122113318241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056655620 + 61056655621.

It is an arithmetic number, because the mean of its divisors is an integer number (61056655621).

Almost surely, 2122113311241 is an apocalyptic number.

It is an amenable number.

122113311241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113311241 is an equidigital number, since it uses as much as digits as its factorization.

122113311241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

Adding to 122113311241 its reverse (142113311221), we get a palindrome (264226622462).

The spelling of 122113311241 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred eleven thousand, two hundred forty-one".