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13300321020030 = 232511210613115079
BaseRepresentation
bin1100000110001011100011…
…1010001110100001111110
31202002111110020111001201100
43001202320322032201332
53220403024140120110
644142025542153530
72541626232221352
oct301427072164176
952074406431640
1013300321020030
1142686a8528100
1215a98367228a6
137562a41645b5
1433da4ba4d462
15180e8a107bc0
hexc18b8e8e87e

13300321020030 has 144 divisors (see below), whose sum is σ = 38014250732640. Its totient is φ = 3223988423040.

The previous prime is 13300321020017. The next prime is 13300321020073. The reversal of 13300321020030 is 3002012300331.

13300321020030 is a `hidden beast` number, since 13 + 300 + 321 + 0 + 2 + 0 + 0 + 30 = 666.

13300321020030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133003210200302 (a number of 27 digits) contains 22 as substring.

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 = 13300321019985 and 13300321020012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115518031 + ... + 115633109.

It is an arithmetic number, because the mean of its divisors is an integer number (263987852310).

Almost surely, 213300321020030 is an apocalyptic number.

13300321020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300321020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007125366320).

13300321020030 is an abundant number, since it is smaller than the sum of its proper divisors (24713929712610).

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

13300321020030 is a wasteful number, since it uses less digits than its factorization.

13300321020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125727 (or 125713 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300321020030 its reverse (3002012300331), we get a palindrome (16302333320361).

The spelling of 13300321020030 in words is "thirteen trillion, three hundred billion, three hundred twenty-one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10613 10890 21226 31839 53065 63678 95517 106130 115079 116743 159195 191034 230158 233486 318390 345237 350229 477585 575395 583715 690474 700458 955170 1035711 1050687 1150790 1167430 1265869 1284173 1726185 1751145 2071422 2101374 2531738 2568346 3452370 3502290 3797607 3852519 5178555 5253435 6329345 6420865 7595214 7705038 10357110 10506870 11392821 11557557 12658690 12841730 13924559 18988035 19262595 22785642 23115114 27849118 37976070 38525190 41773677 56964105 57787785 69622795 83547354 113928210 115575570 125321031 139245590 208868385 250642062 417736770 626605155 1221333427 1253210310 2442666854 3664000281 6106667135 7328000562 10992000843 12213334270 13434667697 18320001405 21984001686 26869335394 36640002810 40304003091 54960004215 67173338485 80608006182 109920008430 120912009273 134346676970 147781344667 201520015455 241824018546 295562689334 403040030910 443344034001 604560046365 738906723335 886688068002 1209120092730 1330032102003 1477813446670 2216720170005 2660064204006 4433440340010 6650160510015 13300321020030