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13301030113020 = 223251317334364759
BaseRepresentation
bin1100000110001110001100…
…1011001100111011111100
31202002120021122202201102200
43001203203023030323330
53220411002202104040
644142224152351500
72541652632344016
oct301434313147374
952076248681380
1013301030113020
114268a31818171
1215a99b40a5590
13756388038750
1433dab7cb31b6
15180ecc4c4630
hexc18e32ccefc

13301030113020 has 144 divisors (see below), whose sum is σ = 46005916057920. Its totient is φ = 3081505609728.

The previous prime is 13301030112961. The next prime is 13301030113043. The reversal of 13301030113020 is 2031103010331.

It is a happy number.

13301030113020 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 30 + 1 + 1 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301030112984 and 13301030113002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167142600 + ... + 167222159.

It is an arithmetic number, because the mean of its divisors is an integer number (319485528180).

Almost surely, 213301030113020 is an apocalyptic number.

13301030113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301030113020 is an abundant number, since it is smaller than the sum of its proper divisors (32704885944900).

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

13301030113020 is a wasteful number, since it uses less digits than its factorization.

13301030113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334364804 (or 334364799 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13301030113020 its reverse (2031103010331), we get a palindrome (15332133123351).

The spelling of 13301030113020 in words is "thirteen trillion, three hundred one billion, thirty million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 334364759 668729518 1003094277 1337459036 1671823795 2006188554 3009282831 3343647590 4012377108 4346741867 5015471385 5684200903 6018565662 6687295180 8693483734 10030942770 11368401806 12037131324 13040225601 15046414155 17052602709 17386967468 20061885540 21733709335 22736803612 26080451202 28421004515 30092828310 34105205418 39120676803 43467418670 51157808127 52160902404 56842009030 60185656620 65201128005 68210410836 73894611739 78241353606 85263013545 86934837340 102315616254 113684018060 130402256010 147789223478 156482707212 170526027090 195603384015 204631232508 221683835217 255789040635 260804512020 295578446956 341052054180 369473058695 391206768030 443367670434 511578081270 665051505651 738946117390 782413536060 886735340868 1023156162540 1108419176085 1330103011302 1477892234780 2216838352170 2660206022604 3325257528255 4433676704340 6650515056510 13301030113020