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820141081 = 17411176673
BaseRepresentation
bin110000111000100…
…101110000011001
32010011020111001121
4300320211300121
53134424003311
6213214245241
726216040604
oct6070456031
92104214047
10820141081
11390a48151
121aa7b6821
13100bb55a6
147accd33b
154c004b71
hex30e25c19

820141081 has 8 divisors (see below), whose sum is σ = 889565544. Its totient is φ = 753070080.

The previous prime is 820141079. The next prime is 820141087. The reversal of 820141081 is 180141028.

It can be written as a sum of positive squares in 4 ways, for example, as 1265625 + 818875456 = 1125^2 + 28616^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820141081 - 21 = 820141079 is a prime.

It is a super-2 number, since 2×8201410812 = 1345262785487697122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820141087) 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 in 7 ways as a sum of consecutive naturals, for example, 587640 + ... + 589033.

It is an arithmetic number, because the mean of its divisors is an integer number (111195693).

Almost surely, 2820141081 is an apocalyptic number.

It is an amenable number.

820141081 is a deficient number, since it is larger than the sum of its proper divisors (69424463).

820141081 is a wasteful number, since it uses less digits than its factorization.

820141081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176731.

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 820141081 is about 28638.1054017196. The cubic root of 820141081 is about 936.0438382717.

The spelling of 820141081 in words is "eight hundred twenty million, one hundred forty-one thousand, eighty-one".

Divisors: 1 17 41 697 1176673 20003441 48243593 820141081