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20241310020 = 22354357713597
BaseRepresentation
bin10010110110011110…
…011110000101000100
31221020122121002100220
4102312132132011010
5312423233410040
613144305304340
71314412203441
oct226636360504
957218532326
1020241310020
118647767898
123b0a9350b0
131ba7696b29
14da037c9c8
157d70352d0
hex4b679e144

20241310020 has 96 divisors (see below), whose sum is σ = 58098488448. Its totient is φ = 5262630912.

The previous prime is 20241309997. The next prime is 20241310031. The reversal of 20241310020 is 2001314202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481862 + ... + 1495458.

It is an arithmetic number, because the mean of its divisors is an integer number (605192588).

Almost surely, 220241310020 is an apocalyptic number.

20241310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29049244224).

20241310020 is an abundant number, since it is smaller than the sum of its proper divisors (37857178428).

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

20241310020 is a wasteful number, since it uses less digits than its factorization.

20241310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20241310020 its reverse (2001314202), we get a palindrome (22242624222).

The spelling of 20241310020 in words is "twenty billion, two hundred forty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 577 645 860 1154 1290 1731 2308 2580 2885 3462 5770 6924 8655 11540 13597 17310 24811 27194 34620 40791 49622 54388 67985 74433 81582 99244 124055 135970 148866 163164 203955 248110 271940 297732 372165 407910 496220 584671 744330 815820 1169342 1488660 1754013 2338684 2923355 3508026 5846710 7016052 7845469 8770065 11693420 15690938 17540130 23536407 31381876 35080260 39227345 47072814 78454690 94145628 117682035 156909380 235364070 337355167 470728140 674710334 1012065501 1349420668 1686775835 2024131002 3373551670 4048262004 5060327505 6747103340 10120655010 20241310020