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13324000304320 = 265167801131123
BaseRepresentation
bin1100000111100011110001…
…0011100001110011000000
31202011202120111020100011121
43001320330103201303000
53221300023034214240
644200543343322024
72543425101632536
oct301707423416300
952152514210147
1013324000304320
1142777498a7942
1215b23448b0314
137585a8b8ba14
14340c56842156
151818c3d9704a
hexc1e3c4e1cc0

13324000304320 has 112 divisors (see below), whose sum is σ = 31922772311808. Its totient is φ = 5296854850560.

The previous prime is 13324000304273. The next prime is 13324000304369. The reversal of 13324000304320 is 2340300042331.

It is a super-2 number, since 2×133240003043202 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 428092279 + ... + 428123401.

It is an arithmetic number, because the mean of its divisors is an integer number (285024752784).

Almost surely, 213324000304320 is an apocalyptic number.

13324000304320 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 13324000304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961386155904).

13324000304320 is an abundant number, since it is smaller than the sum of its proper divisors (18598772007488).

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

13324000304320 is a wasteful number, since it uses less digits than its factorization.

13324000304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 13324000304320 its reverse (2340300042331), we get a palindrome (15664300346651).

The spelling of 13324000304320 in words is "thirteen trillion, three hundred twenty-four billion, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 167 320 334 668 835 1336 1670 2672 3340 5344 6680 8011 10688 13360 16022 26720 31123 32044 40055 53440 62246 64088 80110 124492 128176 155615 160220 248984 256352 311230 320440 497968 512704 622460 640880 995936 1244920 1281760 1337837 1991872 2489840 2563520 2675674 4979680 5197541 5351348 6689185 9959360 10395082 10702696 13378370 20790164 21405392 25987705 26756740 41580328 42810784 51975410 53513480 83160656 85621568 103950820 107026960 166321312 207901640 214053920 249326353 332642624 415803280 428107840 498652706 831606560 997305412 1246631765 1663213120 1994610824 2493263530 3989221648 4986527060 7978443296 9973054120 15956886592 19946108240 39892216480 41637500951 79784432960 83275001902 166550003804 208187504755 333100007608 416375009510 666200015216 832750019020 1332400030432 1665500038040 2664800060864 3331000076080 6662000152160 13324000304320