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131717081 is a prime number
BaseRepresentation
bin1111101100111…
…01011111011001
3100011211220212102
413312131133121
5232204421311
621023053145
73156401546
oct766353731
9304756772
10131717081
1168394aa1
12381411b5
132139a202
14136c9bcd
15b86c43b
hex7d9d7d9

131717081 has 2 divisors, whose sum is σ = 131717082. Its totient is φ = 131717080.

The previous prime is 131717023. The next prime is 131717083. The reversal of 131717081 is 180717131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83539600 + 48177481 = 9140^2 + 6941^2 .

It is a cyclic number.

It is not a de Polignac number, because 131717081 - 218 = 131454937 is a prime.

It is a super-2 number, since 2×1317170812 = 34698778854321122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 131717083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131717083) 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, 65858540 + 65858541.

It is an arithmetic number, because the mean of its divisors is an integer number (65858541).

Almost surely, 2131717081 is an apocalyptic number.

It is an amenable number.

131717081 is a deficient number, since it is larger than the sum of its proper divisors (1).

131717081 is an equidigital number, since it uses as much as digits as its factorization.

131717081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 29.

The square root of 131717081 is about 11476.8062195020. The cubic root of 131717081 is about 508.8003084186.

Subtracting 131717081 from its reverse (180717131), we obtain a triangular number (49000050 = T9899).

The spelling of 131717081 in words is "one hundred thirty-one million, seven hundred seventeen thousand, eighty-one".