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20117671177 is a prime number
BaseRepresentation
bin10010101111000110…
…110100110100001001
31220221000221120202111
4102233012310310021
5312200110434202
613124131302321
71311351245362
oct225706646411
956830846674
1020117671177
1185939a012a
123a9544a9a1
131b87b97856
14d8bb96b69
157cb2616d7
hex4af1b4d09

20117671177 has 2 divisors, whose sum is σ = 20117671178. Its totient is φ = 20117671176.

The previous prime is 20117671159. The next prime is 20117671213. The reversal of 20117671177 is 77117671102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16970012361 + 3147658816 = 130269^2 + 56104^2 .

It is a cyclic number.

It is not a de Polignac number, because 20117671177 - 227 = 19983453449 is a prime.

It is not a weakly prime, because it can be changed into another prime (20117671127) 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, 10058835588 + 10058835589.

It is an arithmetic number, because the mean of its divisors is an integer number (10058835589).

Almost surely, 220117671177 is an apocalyptic number.

It is an amenable number.

20117671177 is a deficient number, since it is larger than the sum of its proper divisors (1).

20117671177 is an equidigital number, since it uses as much as digits as its factorization.

20117671177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28812, while the sum is 40.

The spelling of 20117671177 in words is "twenty billion, one hundred seventeen million, six hundred seventy-one thousand, one hundred seventy-seven".