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8201017 = 11267777
BaseRepresentation
bin11111010010001100111001
3120102122200101
4133102030321
54044413032
6451435401
7126464446
oct37221471
916378611
108201017
1146a1600
1228b5b61
131911a96
1411369cd
15abede7
hex7d2339

8201017 has 6 divisors (see below), whose sum is σ = 9014474. Its totient is φ = 7455360.

The previous prime is 8201009. The next prime is 8201033. The reversal of 8201017 is 7101028.

8201017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7502121 + 698896 = 2739^2 + 836^2 .

It is not a de Polignac number, because 8201017 - 23 = 8201009 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 8200985 and 8201003.

It is not an unprimeable number, because it can be changed into a prime (8204017) 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 5 ways as a sum of consecutive naturals, for example, 33768 + ... + 34009.

Almost surely, 28201017 is an apocalyptic number.

It is an amenable number.

8201017 is a deficient number, since it is larger than the sum of its proper divisors (813457).

8201017 is a wasteful number, since it uses less digits than its factorization.

8201017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67799 (or 67788 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 8201017 is about 2863.7417830524. The cubic root of 8201017 is about 201.6613038060.

The spelling of 8201017 in words is "eight million, two hundred one thousand, seventeen".

Divisors: 1 11 121 67777 745547 8201017