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24131313 = 3217157721
BaseRepresentation
bin101110000001…
…1011011110001
31200101222221100
41130003123301
522134200223
62221115013
7412053453
oct134033361
950358840
1024131313
1112692238
1280b8a69
134ccb9ab
1432c22d3
1521ba043
hex17036f1

24131313 has 12 divisors (see below), whose sum is σ = 36906948. Its totient is φ = 15141120.

The previous prime is 24131297. The next prime is 24131321. The reversal of 24131313 is 31313142.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 4524129 = 4428^2 + 2127^2 .

It is not a de Polignac number, because 24131313 - 24 = 24131297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24131353) 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 11 ways as a sum of consecutive naturals, for example, 78708 + ... + 79013.

It is an arithmetic number, because the mean of its divisors is an integer number (3075579).

Almost surely, 224131313 is an apocalyptic number.

It is an amenable number.

24131313 is a deficient number, since it is larger than the sum of its proper divisors (12775635).

24131313 is a wasteful number, since it uses less digits than its factorization.

24131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157744 (or 157741 counting only the distinct ones).

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

The square root of 24131313 is about 4912.3632805402. The cubic root of 24131313 is about 288.9750300701.

Adding to 24131313 its reverse (31313142), we get a palindrome (55444455).

The spelling of 24131313 in words is "twenty-four million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 157721 473163 1419489 2681257 8043771 24131313