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330212021103330 = 235171976694443553
BaseRepresentation
bin100101100010100110111101…
…0001101111110101011100010
31121022011221221111202100111220
41023011031322031332223202
5321240143204400301310
63130145150331315510
7126361013466622632
oct11305157215765342
91538157844670456
10330212021103330
119624114a337613
12310513758abb96
1311233b244a6412
145b784c06166c2
15282988c0ea670
hex12c537a37eae2

330212021103330 has 128 divisors (see below), whose sum is σ = 883406973945600. Its totient is φ = 78504553119744.

The previous prime is 330212021103271. The next prime is 330212021103383. The reversal of 330212021103330 is 33301120212033.

It is a super-2 number, since 2×3302120211033302 (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 330212021103330.

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, 72090834 + ... + 76534386.

It is an arithmetic number, because the mean of its divisors is an integer number (6901616983950).

Almost surely, 2330212021103330 is an apocalyptic number.

330212021103330 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 330212021103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441703486972800).

330212021103330 is an abundant number, since it is smaller than the sum of its proper divisors (553194952842270).

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

330212021103330 is a wasteful number, since it uses less digits than its factorization.

330212021103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451268.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330212021103330 its reverse (33301120212033), we get a palindrome (363513141315363).

The spelling of 330212021103330 in words is "three hundred thirty trillion, two hundred twelve billion, twenty-one million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 7669 9690 15338 23007 38345 46014 76690 115035 130373 145711 230070 260746 291422 391119 437133 651865 728555 782238 874266 1303730 1457110 1955595 2185665 2477087 3911190 4371330 4443553 4954174 7431261 8887106 12385435 13330659 14862522 22217765 24770870 26661318 37156305 44435530 66653295 74312610 75540401 84427507 133306590 151080802 168855014 226621203 253282521 377702005 422137535 453242406 506565042 755404010 844275070 1133106015 1266412605 1435267619 2266212030 2532825210 2870535238 4305802857 7176338095 8611605714 14352676190 21529014285 34077607957 43058028570 68155215914 102232823871 170388039785 204465647742 340776079570 511164119355 579319335269 647474551183 1022328238710 1158638670538 1294949102366 1737958005807 1942423653549 2896596676345 3237372755915 3475916011614 3884847307098 5793193352690 6474745511830 8689790029035 9712118267745 11007067370111 17379580058070 19424236535490 22014134740222 33021202110333 55035336850555 66042404220666 110070673701110 165106010551665 330212021103330