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330032013223120 = 245134314431662041
BaseRepresentation
bin100101100001010011001000…
…0111010011010010011010000
31121021112202022110011120122121
41023002212100322122103100
5321224221030341114440
63125530340325544024
7126342011644112305
oct11302462072322320
91537482273146577
10330032013223120
119618187760296a
12310224b9575014
131121cb68033130
145b6d8c57690ac
152824d53d8734a
hex12c2990e9a4d0

330032013223120 has 160 divisors (see below), whose sum is σ = 830136846841344. Its totient is φ = 121300731801600.

The previous prime is 330032013223091. The next prime is 330032013223153. The reversal of 330032013223120 is 21322310230033.

It is a super-2 number, since 2×3300320132231202 (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 31 ways as a sum of consecutive naturals, for example, 197739300 + ... + 199401340.

Almost surely, 2330032013223120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330032013223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415068423420672).

330032013223120 is an abundant number, since it is smaller than the sum of its proper divisors (500104833618224).

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

330032013223120 is a wasteful number, since it uses less digits than its factorization.

330032013223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662941 (or 1662935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 330032013223120 its reverse (21322310230033), we get a palindrome (351354323453153).

The spelling of 330032013223120 in words is "three hundred thirty trillion, thirty-two billion, thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 431 443 520 862 886 1040 1724 1772 2155 2215 3448 3544 4310 4430 5603 5759 6896 7088 8620 8860 11206 11518 17240 17720 22412 23036 28015 28795 34480 35440 44824 46072 56030 57590 89648 92144 112060 115180 190933 224120 230360 381866 448240 460720 763732 954665 1527464 1662041 1909330 2482129 3054928 3324082 3818660 4964258 6648164 7637320 8310205 9928516 12410645 13296328 15274640 16620410 19857032 21606533 24821290 26592656 33240820 39714064 43213066 49642580 66481640 86426132 99285160 108032665 132963280 172852264 198570320 216065330 345704528 432130660 716339671 736284163 864261320 1432679342 1472568326 1728522640 2865358684 2945136652 3581698355 3681420815 5730717368 5890273304 7163396710 7362841630 9312415723 9571694119 11461434736 11780546608 14326793420 14725683260 18624831446 19143388238 28653586840 29451366520 37249662892 38286776476 46562078615 47858470595 57307173680 58902733040 74499325784 76573552952 93124157230 95716941190 148998651568 153147105904 186248314460 191433882380 317338474253 372496628920 382867764760 634676948506 744993257840 765735529520 1269353897012 1586692371265 2538707794024 3173384742530 4125400165289 5077415588048 6346769485060 8250800330578 12693538970120 16501600661156 20627000826445 25387077940240 33003201322312 41254001652890 66006402644624 82508003305780 165016006611560 330032013223120