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11007017 = 72224633
BaseRepresentation
bin101001111111…
…010000101001
3202201012210022
4221333100221
510304211032
61031530225
7162362300
oct51772051
922635708
1011007017
11623880a
123829975
132385038
141667437
15e76512
hexa7f429

11007017 has 6 divisors (see below), whose sum is σ = 12804138. Its totient is φ = 9434544.

The previous prime is 11007001. The next prime is 11007043. The reversal of 11007017 is 71070011.

It can be written as a sum of positive squares in only one way, i.e., 10916416 + 90601 = 3304^2 + 301^2 .

It is not a de Polignac number, because 11007017 - 24 = 11007001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11006986 and 11007004.

It is not an unprimeable number, because it can be changed into a prime (11007067) 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, 112268 + ... + 112365.

It is an arithmetic number, because the mean of its divisors is an integer number (2134023).

Almost surely, 211007017 is an apocalyptic number.

It is an amenable number.

11007017 is a deficient number, since it is larger than the sum of its proper divisors (1797121).

11007017 is an equidigital number, since it uses as much as digits as its factorization.

11007017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224647 (or 224640 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 11007017 is about 3317.6824742582. The cubic root of 11007017 is about 222.4452889089.

Adding to 11007017 its reverse (71070011), we get a palindrome (82077028).

The spelling of 11007017 in words is "eleven million, seven thousand, seventeen".

Divisors: 1 7 49 224633 1572431 11007017