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113331024 = 2432787021
BaseRepresentation
bin1101100000101…
…00101101010000
321220020210221100
412300110231100
5213003043044
615125024400
72544204102
oct660245520
9256223840
10113331024
1158a77304
1231b55100
131a6305a1
14110a1572
159e39869
hex6c14b50

113331024 has 30 divisors (see below), whose sum is σ = 317169866. Its totient is φ = 37776960.

The previous prime is 113331007. The next prime is 113331041. The reversal of 113331024 is 420133311.

It is an interprime number because it is at equal distance from previous prime (113331007) and next prime (113331041).

It can be written as a sum of positive squares in only one way, i.e., 113039424 + 291600 = 10632^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113330988 and 113331006.

It is a congruent number.

It is an unprimeable number.

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, 393367 + ... + 393654.

Almost surely, 2113331024 is an apocalyptic number.

It is an amenable number.

113331024 is an abundant number, since it is smaller than the sum of its proper divisors (203838842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113331024 is a wasteful number, since it uses less digits than its factorization.

113331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787035 (or 787026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113331024 is about 10645.7044858478. The cubic root of 113331024 is about 483.9304364655.

Adding to 113331024 its reverse (420133311), we get a palindrome (533464335).

The spelling of 113331024 in words is "one hundred thirteen million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 787021 1574042 2361063 3148084 4722126 6296168 7083189 9444252 12592336 14166378 18888504 28332756 37777008 56665512 113331024