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66077131 is a prime number
BaseRepresentation
bin1111110000010…
…0000111001011
311121100001210011
43330010013023
5113403432011
610320132351
71431434461
oct374040713
9147301704
1066077131
11343317aa
121a1670b7
13108c70c3
148ac0831
155c03621
hex3f041cb

66077131 has 2 divisors, whose sum is σ = 66077132. Its totient is φ = 66077130.

The previous prime is 66077119. The next prime is 66077161. The reversal of 66077131 is 13177066.

66077131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 66077131 - 211 = 66075083 is a prime.

It is a super-2 number, since 2×660771312 = 8732374482382322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 66077093 and 66077102.

It is not a weakly prime, because it can be changed into another prime (66077161) 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, 33038565 + 33038566.

It is an arithmetic number, because the mean of its divisors is an integer number (33038566).

Almost surely, 266077131 is an apocalyptic number.

66077131 is a deficient number, since it is larger than the sum of its proper divisors (1).

66077131 is an equidigital number, since it uses as much as digits as its factorization.

66077131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 66077131 is about 8128.7841034192. The cubic root of 66077131 is about 404.2813674855.

The spelling of 66077131 in words is "sixty-six million, seventy-seven thousand, one hundred thirty-one".