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13330100221020 = 223251114033479753
BaseRepresentation
bin1100000111111010011111…
…1000110111010001011100
31202012100022121022012210100
43001332213320313101130
53221400021124033040
644203432525541100
72544032211235332
oct301764770672134
952170277265710
1013330100221020
11427a29a072610
1215b3567714790
1375903b86c39b
14341274a1db52
15181b2e669b30
hexc1fa7e3745c

13330100221020 has 144 divisors (see below), whose sum is σ = 44113748751072. Its totient is φ = 3231302430720.

The previous prime is 13330100221013. The next prime is 13330100221037. The reversal of 13330100221020 is 2012200103331.

13330100221020 is a `hidden beast` number, since 1 + 3 + 330 + 100 + 2 + 210 + 20 = 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 = 13330100220984 and 13330100221002.

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, 27545464 + ... + 28025216.

It is an arithmetic number, because the mean of its divisors is an integer number (306345477438).

Almost surely, 213330100221020 is an apocalyptic number.

13330100221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330100221020 is an abundant number, since it is smaller than the sum of its proper divisors (30783648530052).

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

13330100221020 is a wasteful number, since it uses less digits than its factorization.

13330100221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493812 (or 493807 counting only the distinct ones).

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

Adding to 13330100221020 its reverse (2012200103331), we get a palindrome (15342300324351).

The spelling of 13330100221020 in words is "thirteen trillion, three hundred thirty billion, one hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 14033 28066 42099 56132 70165 84198 126297 140330 154363 168396 210495 252594 280660 308726 420990 463089 479753 505188 617452 631485 771815 841980 926178 959506 1262970 1389267 1439259 1543630 1852356 1919012 2315445 2398765 2525940 2778534 2878518 3087260 4317777 4630890 4797530 5277283 5557068 5757036 6946335 7196295 8635554 9261780 9595060 10554566 13892670 14392590 15831849 17271108 21109132 21588885 26386415 27785340 28785180 31663698 43177770 47495547 52772830 63327396 79159245 86355540 94991094 105545660 158318490 189982188 237477735 316636980 474955470 949910940 6732373849 13464747698 20197121547 26929495396 33661869245 40394243094 60591364641 67323738490 74056112339 80788486188 100985607735 121182729282 134647476980 148112224678 201971215470 222168337017 242365458564 296224449356 302956823205 370280561695 403942430940 444336674034 605913646410 666505011051 740561123390 888673348068 1110841685085 1211827292820 1333010022102 1481122246780 2221683370170 2666020044204 3332525055255 4443366740340 6665050110510 13330100221020