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330132003313212 = 2232231552992567371
BaseRepresentation
bin100101100010000001101100…
…0110010010101011000111100
31121021220022101221011110001200
41023010003120302111120330
5321232340320322010322
63130044314300335500
7126352151540625042
oct11304033062253074
91537808357143050
10330132003313212
119621021838a561
1231039963b44590
1311229411783009
145b7468d36a392
1528277572b58ac
hex12c40d8c9563c

330132003313212 has 72 divisors (see below), whose sum is σ = 870788911574400. Its totient is φ = 105258760532640.

The previous prime is 330132003313187. The next prime is 330132003313243. The reversal of 330132003313212 is 212313300231033.

330132003313212 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 2 + 0 + 0 + 331 + 321 + 2 = 666.

It is a super-2 number, since 2×3301320033132122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127303887 + ... + 129871257.

Almost surely, 2330132003313212 is an apocalyptic number.

It is an amenable number.

330132003313212 is an abundant number, since it is smaller than the sum of its proper divisors (540656908261188).

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

330132003313212 is a wasteful number, since it uses less digits than its factorization.

330132003313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722703 (or 2722698 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330132003313212 its reverse (212313300231033), we get a palindrome (542445303544245).

The spelling of 330132003313212 in words is "three hundred thirty trillion, one hundred thirty-two billion, three million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 155299 310598 465897 621196 931794 1397691 1863588 2567371 2795382 3571877 5134742 5590764 7143754 7702113 10269484 10715631 14287508 15404226 21431262 23106339 30808452 32146893 42862524 46212678 59049533 64293786 92425356 118099066 128587572 177148599 236198132 354297198 531445797 708594396 1062891594 2125783188 398710148929 797420297858 1196130446787 1594840595716 2392260893574 3588391340361 4784521787148 7176782680722 9170333425367 14353565361444 18340666850734 27511000276101 36681333701468 55022000552202 82533000828303 110044001104404 165066001656606 330132003313212