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24312143130 = 23511683107867
BaseRepresentation
bin10110101001000111…
…011101110100011010
32022202100120211120120
4112221013131310122
5344242402040010
615100245334110
71520322543522
oct265107356432
968670524516
1024312143130
11a346630a80
124866107336
1323a5b89312
141268c90682
159745ece70
hex5a91ddd1a

24312143130 has 64 divisors (see below), whose sum is σ = 63747399168. Its totient is φ = 5885168960.

The previous prime is 24312143129. The next prime is 24312143153. The reversal of 24312143130 is 3134121342.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 24312143130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171457 + ... + 279323.

It is an arithmetic number, because the mean of its divisors is an integer number (996053112).

Almost surely, 224312143130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24312143130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31873699584).

24312143130 is an abundant number, since it is smaller than the sum of its proper divisors (39435256038).

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

24312143130 is a wasteful number, since it uses less digits than its factorization.

24312143130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108571.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 24312143130 its reverse (3134121342), we get a palindrome (27446264472).

The spelling of 24312143130 in words is "twenty-four billion, three hundred twelve million, one hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 683 1366 2049 3415 4098 6830 7513 10245 15026 20490 22539 37565 45078 75130 107867 112695 215734 225390 323601 539335 647202 1078670 1186537 1618005 2373074 3236010 3559611 5932685 7119222 11865370 17798055 35596110 73673161 147346322 221019483 368365805 442038966 736731610 810404771 1105097415 1620809542 2210194830 2431214313 4052023855 4862428626 8104047710 12156071565 24312143130