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1101110017 = 7222471633
BaseRepresentation
bin100000110100001…
…1001101100000001
32211201221011222111
41001220121230001
54223341010032
6301132335321
736200165200
oct10150315401
92751834874
101101110017
11515603287
12268914541
1314717bcb7
14a634b237
1566a04c47
hex41a19b01

1101110017 has 6 divisors (see below), whose sum is σ = 1280883138. Its totient is φ = 943808544.

The previous prime is 1101110011. The next prime is 1101110039. The reversal of 1101110017 is 7100111011.

It can be written as a sum of positive squares in only one way, i.e., 1095345216 + 5764801 = 33096^2 + 2401^2 .

It is a de Polignac number, because none of the positive numbers 2k-1101110017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101109979 and 1101110006.

It is not an unprimeable number, because it can be changed into a prime (1101110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11235768 + ... + 11235865.

It is an arithmetic number, because the mean of its divisors is an integer number (213480523).

Almost surely, 21101110017 is an apocalyptic number.

It is an amenable number.

1101110017 is a deficient number, since it is larger than the sum of its proper divisors (179773121).

1101110017 is an equidigital number, since it uses as much as digits as its factorization.

1101110017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471647 (or 22471640 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 13.

The square root of 1101110017 is about 33182.9778199606. The cubic root of 1101110017 is about 1032.6272255367.

Adding to 1101110017 its reverse (7100111011), we get a palindrome (8201221028).

The spelling of 1101110017 in words is "one billion, one hundred one million, one hundred ten thousand, seventeen".

Divisors: 1 7 49 22471633 157301431 1101110017