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330330020311230 = 235374318773687163
BaseRepresentation
bin100101100011011101111001…
…1100001001111000010111110
31121022121020112002002012020020
41023012323303201033002332
5321244111340144424410
63130315303312033010
7126402361562424132
oct11306736341170276
91538536462065206
10330330020311230
11962871a1863a45
1231070207532766
1311241caacc9a24
145b800b5d393c2
15282c9965d3a70
hex12c6ef384f0be

330330020311230 has 128 divisors (see below), whose sum is σ = 833598284732928. Its totient is φ = 83669434071552.

The previous prime is 330330020311229. The next prime is 330330020311259. The reversal of 330330020311230 is 32113020033033.

It is a super-2 number, since 2×3303300203112302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330330020311230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87745629 + ... + 91432791.

It is an arithmetic number, because the mean of its divisors is an integer number (6512486599476).

Almost surely, 2330330020311230 is an apocalyptic number.

330330020311230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330330020311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416799142366464).

330330020311230 is an abundant number, since it is smaller than the sum of its proper divisors (503268264421698).

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

330330020311230 is a wasteful number, since it uses less digits than its factorization.

330330020311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689130.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330330020311230 its reverse (32113020033033), we get a palindrome (362443040344263).

The spelling of 330330020311230 in words is "three hundred thirty trillion, three hundred thirty billion, twenty million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 111 129 185 215 222 258 370 430 555 645 1110 1290 1591 1877 3182 3754 4773 5631 7955 9385 9546 11262 15910 18770 23865 28155 47730 56310 69449 80711 138898 161422 208347 242133 347245 403555 416694 484266 694490 807110 1041735 1210665 2083470 2421330 2986307 3687163 5972614 7374326 8958921 11061489 14931535 17917842 18435815 22122978 29863070 36871630 44794605 55307445 89589210 110614890 136425031 158548009 272850062 317096018 409275093 475644027 682125155 792740045 818550186 951288054 1364250310 1585480090 2046375465 2378220135 4092750930 4756440270 5866276333 6920804951 11732552666 13841609902 17598828999 20762414853 29331381665 34604024755 35197657998 41524829706 58662763330 69208049510 87994144995 103812074265 175988289990 207624148530 256069783187 297594612893 512139566374 595189225786 768209349561 892783838679 1280348915935 1487973064465 1536418699122 1785567677358 2560697831870 2975946128930 3841046747805 4463919193395 7682093495610 8927838386790 11011000677041 22022001354082 33033002031123 55055003385205 66066004062246 110110006770410 165165010155615 330330020311230