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13300113220020 = 223251137181546727
BaseRepresentation
bin1100000110001010110010…
…0001100010000110110100
31202002110220202110201200200
43001202230201202012310
53220402112441020040
644141553200240500
72541621130026414
oct301425441420664
952073822421620
1013300113220020
1142686011a7960
1215a9799010130
137562700a8c03
1433da2c1da644
15180e76c5c630
hexc18ac8621b4

13300113220020 has 144 divisors (see below), whose sum is σ = 45200778150528. Its totient is φ = 3137127425280.

The previous prime is 13300113220019. The next prime is 13300113220067. The reversal of 13300113220020 is 2002231100331.

13300113220020 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 132 + 200 + 2 + 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 = 13300113219975 and 13300113220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90700104 + ... + 90846623.

It is an arithmetic number, because the mean of its divisors is an integer number (313894292712).

Almost surely, 213300113220020 is an apocalyptic number.

13300113220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300113220020 is an abundant number, since it is smaller than the sum of its proper divisors (31900664930508).

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

13300113220020 is a wasteful number, since it uses less digits than its factorization.

13300113220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181546790 (or 181546785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13300113220020 its reverse (2002231100331), we get a palindrome (15302344320351).

The spelling of 13300113220020 in words is "thirteen trillion, three hundred billion, one hundred thirteen million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 181546727 363093454 544640181 726186908 907733635 1089280362 1633920543 1815467270 1997013997 2178560724 2723200905 3267841086 3630934540 3994027994 5446401810 5991041991 6535682172 6717228899 7988055988 8169602715 9985069985 10892803620 11982083982 13434457798 16339205430 17973125973 19970139970 20151686697 23964167964 26868915596 29955209955 32678410860 33586144495 35946251946 39940279940 40303373394 59910419910 60455060091 67172288990 71892503892 73889517889 80606746788 89865629865 100758433485 119820839820 120910120182 134344577980 147779035778 179731259730 201516866970 221668553667 241820240364 295558071556 302275300455 359462519460 369447589445 403033733940 443337107334 604550600910 665005661001 738895178890 886674214668 1108342768335 1209101201820 1330011322002 1477790357780 2216685536670 2660022644004 3325028305005 4433371073340 6650056610010 13300113220020