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133681608217 is a prime number
BaseRepresentation
bin111110010000000001…
…0110111011000011001
3110210001111112022122201
41330200002313120121
54142234442430332
6141225032450201
712441516631003
oct1744002673031
9423044468581
10133681608217
115176a867953
1221aa9849961
13c7b5859031
14668241d373
1537261955e7
hex1f200b7619

133681608217 has 2 divisors, whose sum is σ = 133681608218. Its totient is φ = 133681608216.

The previous prime is 133681608209. The next prime is 133681608253. The reversal of 133681608217 is 712806186331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96003304336 + 37678303881 = 309844^2 + 194109^2 .

It is a cyclic number.

It is not a de Polignac number, because 133681608217 - 23 = 133681608209 is a prime.

It is not a weakly prime, because it can be changed into another prime (133681602217) 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, 66840804108 + 66840804109.

It is an arithmetic number, because the mean of its divisors is an integer number (66840804109).

Almost surely, 2133681608217 is an apocalyptic number.

It is an amenable number.

133681608217 is a deficient number, since it is larger than the sum of its proper divisors (1).

133681608217 is an equidigital number, since it uses as much as digits as its factorization.

133681608217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 133681608217 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, two hundred seventeen".