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113332005 = 3256413929
BaseRepresentation
bin1101100000101…
…00111100100101
321220020212021200
412300110330211
5213003111010
615125033113
72544210003
oct660247445
9256225250
10113332005
1158a78016
1231b55799
131a630b77
14110a1a73
159e39cc0
hex6c14f25

113332005 has 24 divisors (see below), whose sum is σ = 196798680. Its totient is φ = 60334080.

The previous prime is 113332003. The next prime is 113332049. The reversal of 113332005 is 500233311.

It can be written as a sum of positive squares in 4 ways, for example, as 13771521 + 99560484 = 3711^2 + 9978^2 .

It is not a de Polignac number, because 113332005 - 21 = 113332003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113332003) 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 23 ways as a sum of consecutive naturals, for example, 26881 + ... + 30809.

It is an arithmetic number, because the mean of its divisors is an integer number (8199945).

Almost surely, 2113332005 is an apocalyptic number.

113332005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113332005 is a deficient number, since it is larger than the sum of its proper divisors (83466675).

113332005 is a wasteful number, since it uses less digits than its factorization.

113332005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113332005 is about 10645.7505606697. The cubic root of 113332005 is about 483.9318327716.

Adding to 113332005 its reverse (500233311), we get a palindrome (613565316).

The spelling of 113332005 in words is "one hundred thirteen million, three hundred thirty-two thousand, five".

Divisors: 1 3 5 9 15 45 641 1923 3205 3929 5769 9615 11787 19645 28845 35361 58935 176805 2518489 7555467 12592445 22666401 37777335 113332005