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13300341334320 = 24351391229324403
BaseRepresentation
bin1100000110001011101000…
…0111101110000100110000
31202002111111122201010200110
43001202322013232010300
53220403044340144240
644142031545421320
72541626566666605
oct301427207560460
952074448633613
1013300341334320
114268708a42577
1215a984149a840
137562a8427aa1
1433da5061a6ac
15180e8bcbbc80
hexc18ba1ee130

13300341334320 has 160 divisors (see below), whose sum is σ = 41561602387200. Its totient is φ = 3518365473792.

The previous prime is 13300341334253. The next prime is 13300341334333. The reversal of 13300341334320 is 2343314300331.

It is a super-2 number, since 2×133003413343202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 40837239 + ... + 41161641.

It is an arithmetic number, because the mean of its divisors is an integer number (259760014920).

Almost surely, 213300341334320 is an apocalyptic number.

13300341334320 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 13300341334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780801193600).

13300341334320 is an abundant number, since it is smaller than the sum of its proper divisors (28261261052880).

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

13300341334320 is a wasteful number, since it uses less digits than its factorization.

13300341334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325787 (or 325781 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 13300341334320 its reverse (2343314300331), we get a palindrome (15643655634651).

The spelling of 13300341334320 in words is "thirteen trillion, three hundred billion, three hundred forty-one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1229 1390 1668 2085 2224 2458 2780 3336 3687 4170 4916 5560 6145 6672 7374 8340 9832 11120 12290 14748 16680 18435 19664 24580 29496 33360 36870 49160 58992 73740 98320 147480 170831 294960 324403 341662 512493 648806 683324 854155 973209 1024986 1297612 1366648 1622015 1708310 1946418 2049972 2562465 2595224 2733296 3244030 3416620 3892836 4099944 4866045 5124930 5190448 6488060 6833240 7785672 8199888 9732090 10249860 12976120 13666480 15571344 19464180 20499720 25952240 38928360 40999440 45092017 77856720 90184034 135276051 180368068 225460085 270552102 360736136 398691287 450920170 541104204 676380255 721472272 797382574 901840340 1082208408 1196073861 1352760510 1594765148 1803680680 1993456435 2164416816 2392147722 2705521020 3189530296 3607361360 3986912870 4784295444 5411042040 5980369305 6379060592 7973825740 9568590888 10822084080 11960738610 15947651480 19137181776 23921477220 31895302960 47842954440 55418088893 95685908880 110836177786 166254266679 221672355572 277090444465 332508533358 443344711144 554180888930 665017066716 831271333395 886689422288 1108361777860 1330034133432 1662542666790 2216723555720 2660068266864 3325085333580 4433447111440 6650170667160 13300341334320