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130411241101320 = 233515136371978853
BaseRepresentation
bin11101101001101110111011…
…101100110101100000001000
3122002202012012121200202211120
4131221232323230311200020
5114043124210210220240
61141210032545555240
736316621061325564
oct3551567354654010
9562665177622746
10130411241101320
113860a107873403
12127626a4945b20
13579c95ba6606a
14242bd1b2726a4
151012467ca8ad0
hex769bbbb35808

130411241101320 has 128 divisors (see below), whose sum is σ = 393933157021440. Its totient is φ = 34536508185600.

The previous prime is 130411241101289. The next prime is 130411241101357. The reversal of 130411241101320 is 23101142114031.

It is a super-2 number, since 2×1304112411013202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64913014 + ... + 66891866.

It is an arithmetic number, because the mean of its divisors is an integer number (3077602789230).

Almost surely, 2130411241101320 is an apocalyptic number.

130411241101320 is a gapful number since it is divisible by the number (10) 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 130411241101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196966578510720).

130411241101320 is an abundant number, since it is smaller than the sum of its proper divisors (263521915920120).

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

130411241101320 is a wasteful number, since it uses less digits than its factorization.

130411241101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982655 (or 1982651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130411241101320 its reverse (23101142114031), we get a palindrome (153512383215351).

The spelling of 130411241101320 in words is "one hundred thirty trillion, four hundred eleven billion, two hundred forty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 3637 4530 6040 7274 9060 10911 14548 18120 18185 21822 29096 36370 43644 54555 72740 87288 109110 145480 218220 436440 549187 1098374 1647561 1978853 2196748 2745935 3295122 3957706 4393496 5491870 5936559 6590244 7915412 8237805 9894265 10983740 11873118 13180488 15830824 16475610 19788530 21967480 23746236 29682795 32951220 39577060 47492472 59365590 65902440 79154120 118731180 237462360 298806803 597613606 896420409 1195227212 1494034015 1792840818 2390454424 2988068030 3585681636 4482102045 5976136060 7171363272 7197088361 8964204090 11952272120 14394176722 17928408180 21591265083 28788353444 35856816360 35985441805 43182530166 57576706888 71970883610 86365060332 107956325415 143941767220 172730120664 215912650830 287883534440 431825301660 863650603320 1086760342511 2173520685022 3260281027533 4347041370044 5433801712555 6520562055066 8694082740088 10867603425110 13041124110132 16301405137665 21735206850220 26082248220264 32602810275330 43470413700440 65205620550660 130411241101320