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13312241300020 = 22513215725086197
BaseRepresentation
bin1100000110110111111101…
…1010011111001000110100
31202010122012222121000202211
43001231333122133020310
53221101432233100040
644151320443143204
72542530515016265
oct301557732371064
952118188530684
1013312241300020
114272765189973
1215b0002814b04
13757453936300
1434045cc3896c
1518143687c8ea
hexc1b7f69f234

13312241300020 has 72 divisors (see below), whose sum is σ = 30464377816824. Its totient is φ = 4883981326848.

The previous prime is 13312241299997. The next prime is 13312241300051. The reversal of 13312241300020 is 2000314221331.

It can be written as a sum of positive squares in 12 ways, for example, as 6892494126736 + 6419747173284 = 2625356^2 + 2533722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13312241299964 and 13312241300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12012439 + ... + 13073758.

It is an arithmetic number, because the mean of its divisors is an integer number (423116358567).

Almost surely, 213312241300020 is an apocalyptic number.

13312241300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312241300020 is an abundant number, since it is smaller than the sum of its proper divisors (17152136516804).

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

13312241300020 is a wasteful number, since it uses less digits than its factorization.

13312241300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25086389 (or 25086374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13312241300020 its reverse (2000314221331), we get a palindrome (15312555521351).

The spelling of 13312241300020 in words is "thirteen trillion, three hundred twelve billion, two hundred forty-one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 169 260 314 338 628 676 785 845 1570 1690 2041 3140 3380 4082 8164 10205 20410 26533 40820 53066 106132 132665 265330 530660 25086197 50172394 100344788 125430985 250861970 326120561 501723940 652241122 1304482244 1630602805 3261205610 3938532929 4239567293 6522411220 7877065858 8479134586 15754131716 16958269172 19692664645 21197836465 39385329290 42395672930 51200928077 78770658580 84791345860 102401856154 204803712308 256004640385 512009280770 665612065001 1024018561540 1331224130002 2662448260004 3328060325005 6656120650010 13312241300020