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231013024 = 25114116007
BaseRepresentation
bin11011100010011…
…11101010100000
3121002200200021221
431301033222200
5433114404044
634531224424
75503402234
oct1561175240
9532620257
10231013024
11109445560
1265448114
1338b253c8
14229765c4
1515433484
hexdc4faa0

231013024 has 48 divisors (see below), whose sum is σ = 508286016. Its totient is φ = 102438400.

The previous prime is 231013009. The next prime is 231013031. The reversal of 231013024 is 420310132.

It is a happy number.

231013024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231012989 and 231013007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6429 + ... + 22435.

It is an arithmetic number, because the mean of its divisors is an integer number (10589292).

Almost surely, 2231013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254143008).

231013024 is an abundant number, since it is smaller than the sum of its proper divisors (277272992).

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

231013024 is a wasteful number, since it uses less digits than its factorization.

231013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16069 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231013024 is about 15199.1126056754. The cubic root of 231013024 is about 613.5907751435.

Adding to 231013024 its reverse (420310132), we get a palindrome (651323156).

The spelling of 231013024 in words is "two hundred thirty-one million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 16007 32014 64028 128056 176077 256112 352154 512224 656287 704308 1312574 1408616 2625148 2817232 5250296 5634464 7219157 10500592 14438314 21001184 28876628 57753256 115506512 231013024