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330130220313300 = 2235211694714400383
BaseRepresentation
bin100101100010000000110111…
…0100000101110101011010100
31121021220010210200010122222220
41023010001232200232223110
5321232323142400011200
63130043421324422340
7126352056420443421
oct11304015640565324
91537803720118886
10330130220313300
119620a492987310
12310395469a79b0
13112291b9265a94
145b7456063ad48
1528276a09b94a0
hex12c406e82ead4

330130220313300 has 144 divisors (see below), whose sum is σ = 1042161089421312. Its totient is φ = 80020042697600.

The previous prime is 330130220313233. The next prime is 330130220313337. The reversal of 330130220313300 is 3313022031033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15724909 + ... + 30125291.

It is an arithmetic number, because the mean of its divisors is an integer number (7237229787648).

Almost surely, 2330130220313300 is an apocalyptic number.

330130220313300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330130220313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521080544710656).

330130220313300 is an abundant number, since it is smaller than the sum of its proper divisors (712030869108012).

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

330130220313300 is a wasteful number, since it uses less digits than its factorization.

330130220313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407358 (or 14407351 counting only the distinct ones).

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

Adding to 330130220313300 its reverse (3313022031033), we get a palindrome (333443242344333).

The spelling of 330130220313300 in words is "three hundred thirty trillion, one hundred thirty billion, two hundred twenty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6947 13894 20841 27788 34735 41682 69470 76417 83364 104205 138940 152834 173675 208410 229251 305668 347350 382085 416820 458502 521025 694700 764170 917004 1042050 1146255 1528340 1910425 2084100 2292510 3820850 4585020 5731275 7641700 11462550 14400383 22925100 28800766 43201149 57601532 72001915 86402298 144003830 158404213 172804596 216005745 288007660 316808426 360009575 432011490 475212639 633616852 720019150 792021065 864022980 950425278 1080028725 1440038300 1584042130 1900850556 2160057450 2376063195 3168084260 3960105325 4320114900 4752126390 7920210650 9504252780 11880315975 15840421300 23760631950 47521263900 100039460701 200078921402 300118382103 400157842804 500197303505 600236764206 1000394607010 1100434067711 1200473528412 1500591910515 2000789214020 2200868135422 2500986517525 3001183821030 3301302203133 4401736270844 5001973035050 5502170338555 6002367642060 6602604406266 7502959552575 10003946070100 11004340677110 13205208812532 15005919105150 16506511015665 22008681354220 27510851692775 30011838210300 33013022031330 55021703385550 66026044062660 82532555078325 110043406771100 165065110156650 330130220313300