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13341340113120 = 2532552117782763
BaseRepresentation
bin1100001000100100010111…
…0101101001100011100000
31202020102022221010220010100
43002021011311221203200
53222041031032104440
644212532123502400
72544610562604135
oct302110565514340
952212287126110
1013341340113120
11428403775a938
1215b5783987a00
1375a1103aa706
14341a1d6d858c
1518208b2e3230
hexc2245d698e0

13341340113120 has 144 divisors (see below), whose sum is σ = 45614710198512. Its totient is φ = 3550861916160.

The previous prime is 13341340113103. The next prime is 13341340113181. The reversal of 13341340113120 is 2131104314331.

13341340113120 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 340 + 1 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×133413401131203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 8141142 + ... + 9641621.

It is an arithmetic number, because the mean of its divisors is an integer number (316768820823).

Almost surely, 213341340113120 is an apocalyptic number.

13341340113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13341340113120 is an abundant number, since it is smaller than the sum of its proper divisors (32273370085392).

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

13341340113120 is a wasteful number, since it uses less digits than its factorization.

13341340113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17783305 (or 17783294 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13341340113120 its reverse (2131104314331), we get a palindrome (15472444427451).

The spelling of 13341340113120 in words is "thirteen trillion, three hundred forty-one billion, three hundred forty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 521 720 1042 1440 1563 2084 2605 3126 4168 4689 5210 6252 7815 8336 9378 10420 12504 15630 16672 18756 20840 23445 25008 31260 37512 41680 46890 50016 62520 75024 83360 93780 125040 150048 187560 250080 375120 750240 17782763 35565526 53348289 71131052 88913815 106696578 142262104 160044867 177827630 213393156 266741445 284524208 320089734 355655260 426786312 533482890 569048416 640179468 711310520 800224335 853572624 1066965780 1280358936 1422621040 1600448670 1707145248 2133931560 2560717872 2845242080 3200897340 4267863120 5121435744 6401794680 8535726240 9264819523 12803589360 18529639046 25607178720 27794458569 37059278092 46324097615 55588917138 74118556184 83383375707 92648195230 111177834276 138972292845 148237112368 166766751414 185296390460 222355668552 277944585690 296474224736 333533502828 370592780920 416916878535 444711337104 555889171380 667067005656 741185561840 833833757070 889422674208 1111778342760 1334134011312 1482371123680 1667667514140 2223556685520 2668268022624 3335335028280 4447113371040 6670670056560 13341340113120