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71288081 is a prime number
BaseRepresentation
bin1000011111111…
…00010100010001
311222010210212022
410033330110101
5121222204311
611023541225
71523636654
oct417742421
9158123768
1071288081
1137270877
121ba5a815
13119ccbc7
14967989b
1563d25db
hex43fc511

71288081 has 2 divisors, whose sum is σ = 71288082. Its totient is φ = 71288080.

The previous prime is 71288069. The next prime is 71288101. The reversal of 71288081 is 18088217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48094225 + 23193856 = 6935^2 + 4816^2 .

It is a cyclic number.

It is not a de Polignac number, because 71288081 - 218 = 71025937 is a prime.

It is a super-2 number, since 2×712880812 = 10163980985325122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71288881) 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, 35644040 + 35644041.

It is an arithmetic number, because the mean of its divisors is an integer number (35644041).

Almost surely, 271288081 is an apocalyptic number.

It is an amenable number.

71288081 is a deficient number, since it is larger than the sum of its proper divisors (1).

71288081 is an equidigital number, since it uses as much as digits as its factorization.

71288081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 71288081 is about 8443.2269305047. The cubic root of 71288081 is about 414.6410618759.

The spelling of 71288081 in words is "seventy-one million, two hundred eighty-eight thousand, eighty-one".