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116264129 is a prime number
BaseRepresentation
bin1101110111000…
…00110011000001
322002202211101212
412323200303001
5214230423004
615311535505
72611141322
oct673406301
9262684355
10116264129
115a69aa63
1232b2a595
131b119657
1411626449
15a31896e
hex6ee0cc1

116264129 has 2 divisors, whose sum is σ = 116264130. Its totient is φ = 116264128.

The previous prime is 116264123. The next prime is 116264189. The reversal of 116264129 is 921462611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84364225 + 31899904 = 9185^2 + 5648^2 .

It is a cyclic number.

It is not a de Polignac number, because 116264129 - 220 = 115215553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116264095 and 116264104.

It is not a weakly prime, because it can be changed into another prime (116264123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58132064 + 58132065.

It is an arithmetic number, because the mean of its divisors is an integer number (58132065).

Almost surely, 2116264129 is an apocalyptic number.

It is an amenable number.

116264129 is a deficient number, since it is larger than the sum of its proper divisors (1).

116264129 is an equidigital number, since it uses as much as digits as its factorization.

116264129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 32.

The square root of 116264129 is about 10782.5845232022. The cubic root of 116264129 is about 488.0697755308.

The spelling of 116264129 in words is "one hundred sixteen million, two hundred sixty-four thousand, one hundred twenty-nine".