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122664063349 is a prime number
BaseRepresentation
bin111001000111101011…
…0010001000101110101
3102201121200002001101101
41302033112101011311
54002204000011344
6132203500330101
711601505222642
oct1621726210565
9381550061341
10122664063349
1148026736373
121b933b43931
13b74b0ca909
145d190a2dc9
1532cdcdc9d4
hex1c8f591175

122664063349 has 2 divisors, whose sum is σ = 122664063350. Its totient is φ = 122664063348.

The previous prime is 122664063331. The next prime is 122664063359. The reversal of 122664063349 is 943360466221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111218915025 + 11445148324 = 333495^2 + 106982^2 .

It is a cyclic number.

It is not a de Polignac number, because 122664063349 - 215 = 122664030581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122664063299 and 122664063308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122664063359) 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, 61332031674 + 61332031675.

It is an arithmetic number, because the mean of its divisors is an integer number (61332031675).

Almost surely, 2122664063349 is an apocalyptic number.

It is an amenable number.

122664063349 is a deficient number, since it is larger than the sum of its proper divisors (1).

122664063349 is an equidigital number, since it uses as much as digits as its factorization.

122664063349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 122664063349 in words is "one hundred twenty-two billion, six hundred sixty-four million, sixty-three thousand, three hundred forty-nine".