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122201312341 is a prime number
BaseRepresentation
bin111000111001111000…
…1000000110001010101
3102200102102022212100011
41301303301000301111
54000232013443331
6132045530120221
711554156005433
oct1616361006125
9380372285304
10122201312341
1147909500719
121b824b80071
13b6a6288154
145cb3845d53
1532a33813b1
hex1c73c40c55

122201312341 has 2 divisors, whose sum is σ = 122201312342. Its totient is φ = 122201312340.

The previous prime is 122201312243. The next prime is 122201312357. The reversal of 122201312341 is 143213102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111519263025 + 10682049316 = 333945^2 + 103354^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201312341 - 217 = 122201181269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201312941) 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, 61100656170 + 61100656171.

It is an arithmetic number, because the mean of its divisors is an integer number (61100656171).

Almost surely, 2122201312341 is an apocalyptic number.

It is an amenable number.

122201312341 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201312341 is an equidigital number, since it uses as much as digits as its factorization.

122201312341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122201312341 its reverse (143213102221), we get a palindrome (265414414562).

The spelling of 122201312341 in words is "one hundred twenty-two billion, two hundred one million, three hundred twelve thousand, three hundred forty-one".