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122811364349 is a prime number
BaseRepresentation
bin111001001100000100…
…0001011001111111101
3102201222221020201100222
41302120020023033331
54003004202124344
6132230241431125
711605244241632
oct1623010131775
9381887221328
10122811364349
11480a18a4833
121b97533b4a5
13b77279317b
145d30888189
1532dbbd75ee
hex1c9820b3fd

122811364349 has 2 divisors, whose sum is σ = 122811364350. Its totient is φ = 122811364348.

The previous prime is 122811364223. The next prime is 122811364411. The reversal of 122811364349 is 943463118221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89571511225 + 33239853124 = 299285^2 + 182318^2 .

It is a cyclic number.

It is not a de Polignac number, because 122811364349 - 236 = 54091887613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122861364349) 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, 61405682174 + 61405682175.

It is an arithmetic number, because the mean of its divisors is an integer number (61405682175).

Almost surely, 2122811364349 is an apocalyptic number.

It is an amenable number.

122811364349 is a deficient number, since it is larger than the sum of its proper divisors (1).

122811364349 is an equidigital number, since it uses as much as digits as its factorization.

122811364349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 44.

The spelling of 122811364349 in words is "one hundred twenty-two billion, eight hundred eleven million, three hundred sixty-four thousand, three hundred forty-nine".