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13315013410120 = 23519233326472837
BaseRepresentation
bin1100000111000010010010…
…1001001111110101001000
31202010220101011210210221021
43001300210221033311020
53221123121413110440
644152455511122224
72542656305405032
oct301604451176510
952126334723837
1013315013410120
114273957a48254
1215b0657073374
137577a6049b46
1434064307cc52
15181549e0884a
hexc1c24a4fd48

13315013410120 has 128 divisors (see below), whose sum is σ = 31572118828800. Its totient is φ = 5039844074496.

The previous prime is 13315013410093. The next prime is 13315013410129. The reversal of 13315013410120 is 2101431051331.

It is a super-2 number, since 2×133150134101202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13315013410129) by changing a digit.

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, 4693341342 + ... + 4693344178.

It is an arithmetic number, because the mean of its divisors is an integer number (246657178350).

Almost surely, 213315013410120 is an apocalyptic number.

13315013410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13315013410120 is an abundant number, since it is smaller than the sum of its proper divisors (18257105418680).

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

13315013410120 is a wasteful number, since it uses less digits than its factorization.

13315013410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13315013410120 its reverse (2101431051331), we get a palindrome (15416444461451).

The spelling of 13315013410120 in words is "thirteen trillion, three hundred fifteen billion, thirteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2333 2647 2837 4666 5294 5674 9332 10588 11348 11665 13235 14185 18664 21176 22696 23330 26470 28370 44327 46660 50293 52940 53903 56740 88654 93320 100586 105880 107806 113480 177308 201172 215612 221635 251465 269515 354616 402344 431224 443270 502930 539030 886540 1005860 1078060 1773080 2011720 2156120 6175451 6618721 7509539 12350902 13237442 15019078 24701804 26474884 30038156 30877255 33093605 37547695 49403608 52949768 60076312 61754510 66187210 75095390 117333569 123509020 125755699 132374420 142681241 150190780 234667138 247018040 251511398 264748840 285362482 300381560 469334276 503022796 570724964 586667845 628778495 713406205 938668552 1006045592 1141449928 1173335690 1257556990 1426812410 2346671380 2515113980 2853624820 4693342760 5030227960 5707249640 17519754487 35039508974 70079017948 87598772435 140158035896 175197544870 332875335253 350395089740 665750670506 700790179480 1331501341012 1664376676265 2663002682024 3328753352530 6657506705060 13315013410120