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181918209293 is a prime number
BaseRepresentation
bin1010100101101100101…
…0111001010100001101
3122101120012012112201022
42221123022321110031
510440032030144133
6215323322323525
716100050160012
oct2513312712415
9571505175638
10181918209293
11701730a5217
122b3100595a5
1314202182432
148b3a883709
154aead11998
hex2a5b2b950d

181918209293 has 2 divisors, whose sum is σ = 181918209294. Its totient is φ = 181918209292.

The previous prime is 181918209269. The next prime is 181918209307. The reversal of 181918209293 is 392902819181.

It is a happy number.

181918209293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116552594404 + 65365614889 = 341398^2 + 255667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181918209293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181918209233) 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, 90959104646 + 90959104647.

It is an arithmetic number, because the mean of its divisors is an integer number (90959104647).

Almost surely, 2181918209293 is an apocalyptic number.

It is an amenable number.

181918209293 is a deficient number, since it is larger than the sum of its proper divisors (1).

181918209293 is an equidigital number, since it uses as much as digits as its factorization.

181918209293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 53.

The spelling of 181918209293 in words is "one hundred eighty-one billion, nine hundred eighteen million, two hundred nine thousand, two hundred ninety-three".