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13011011130300 = 223521723110920811
BaseRepresentation
bin1011110101010101110010…
…1100100101001110111100
31201001211200201212220102020
42331111130230211032330
53201133022322132200
643401102003200140
72512004661562161
oct275253454451674
951054621786366
1013011011130300
114166a3664a987
121561755376050
13734c18cabc31
1432da44592068
151786a61c3ea0
hexbd55cb253bc

13011011130300 has 144 divisors (see below), whose sum is σ = 41592642400512. Its totient is φ = 3123530009600.

The previous prime is 13011011130287. The next prime is 13011011130343. The reversal of 13011011130300 is 303111011031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13011011130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55343106 + ... + 55577705.

It is an arithmetic number, because the mean of its divisors is an integer number (288837794448).

Almost surely, 213011011130300 is an apocalyptic number.

13011011130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011011130300 is an abundant number, since it is smaller than the sum of its proper divisors (28581631270212).

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

13011011130300 is a wasteful number, since it uses less digits than its factorization.

13011011130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110920868 (or 110920861 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13011011130300 its reverse (303111011031), we get a palindrome (13314122141331).

The spelling of 13011011130300 in words is "thirteen trillion, eleven billion, eleven million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1955 2300 2346 2550 3450 3910 4692 5100 5865 6900 7820 9775 11730 19550 23460 29325 39100 58650 117300 110920811 221841622 332762433 443683244 554604055 665524866 1109208110 1331049732 1663812165 1885653787 2218416220 2551178653 2773020275 3327624330 3771307574 5102357306 5546040550 5656961361 6655248660 7542615148 7653535959 8319060825 9428268935 10204714612 11092081100 11313922722 12755893265 15307071918 16638121650 18856537870 22627845444 25511786530 28284806805 30614143836 33276243300 37713075740 38267679795 43370037101 47141344675 51023573060 56569613610 63779466325 76535359590 86740074202 94282689350 113139227220 127558932650 130110111303 141424034025 153070719180 173480148404 188565378700 191338398975 216850185505 255117865300 260220222606 282848068050 382676797950 433700371010 520440445212 565696136100 650550556515 765353595900 867400742020 1084250927525 1301101113030 2168501855050 2602202226060 3252752782575 4337003710100 6505505565150 13011011130300