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330432330120420 = 2235111573188885641
BaseRepresentation
bin100101100100001101100010…
…1101010001011110011100100
31121022222000121020001000000110
41023020123011222023303210
5321302300403002323140
63130434303350213020
7126412643114440203
oct11310330552136344
91538860536030013
10330432330120420
1196316622aaa960
1231087bba954170
131124b834207368
145b8501da5d23a
1528304834cb380
hex12c86c5a8bce4

330432330120420 has 96 divisors (see below), whose sum is σ = 1015749365774976. Its totient is φ = 79594585574400.

The previous prime is 330432330120391. The next prime is 330432330120421. The reversal of 330432330120420 is 24021033234033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (330432330120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594339201 + ... + 1594546440.

It is an arithmetic number, because the mean of its divisors is an integer number (10580722560156).

Almost surely, 2330432330120420 is an apocalyptic number.

330432330120420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330432330120420 is an abundant number, since it is smaller than the sum of its proper divisors (685317035654556).

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

330432330120420 is a wasteful number, since it uses less digits than its factorization.

330432330120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188885821 (or 3188885819 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 330432330120420 its reverse (24021033234033), we get a palindrome (354453363354453).

The spelling of 330432330120420 in words is "three hundred thirty trillion, four hundred thirty-two billion, three hundred thirty million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 25905 34540 51810 103620 3188885641 6377771282 9566656923 12755542564 15944428205 19133313846 31888856410 35077742051 38266627692 47833284615 63777712820 70155484102 95666569230 105233226153 140310968204 175388710255 191333138460 210466452306 350777420510 420932904612 500655045637 526166130765 701554841020 1001310091274 1052332261530 1501965136911 2002620182548 2104664523060 2503275228185 3003930273822 5006550456370 5507205502007 6007860547644 7509825684555 10013100912740 11014411004014 15019651369110 16521616506021 22028822008028 27536027510035 30039302738220 33043233012042 55072055020070 66086466024084 82608082530105 110144110040140 165216165060210 330432330120420