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330300210014320 = 245713445110193419
BaseRepresentation
bin100101100011010000000001…
…0101011111110100001110000
31121022111101120112202012120111
41023012200002223332201300
5321243114312230424240
63130253453253551104
7126400255055165410
oct11306400253764160
91538441515665514
10330300210014320
119627559470a727
1231066488045494
131123c23a0251a0
145b7c888b92640
15282bcee47d1ea
hex12c6802afe870

330300210014320 has 160 divisors (see below), whose sum is σ = 945379196858880. Its totient is φ = 104511076070400.

The previous prime is 330300210014311. The next prime is 330300210014351. The reversal of 330300210014320 is 23410012003033.

It is a junction number, because it is equal to n+sod(n) for n = 330300210014291 and 330300210014300.

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, 27306571 + ... + 37499989.

It is an arithmetic number, because the mean of its divisors is an integer number (5908619980368).

Almost surely, 2330300210014320 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 330300210014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472689598429440).

330300210014320 is an abundant number, since it is smaller than the sum of its proper divisors (615078986844560).

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

330300210014320 is a wasteful number, since it uses less digits than its factorization.

330300210014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197903 (or 10197897 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330300210014320 its reverse (23410012003033), we get a palindrome (353710222017353).

The spelling of 330300210014320 in words is "three hundred thirty trillion, three hundred billion, two hundred ten million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 4451 7280 8902 17804 22255 31157 35608 44510 57863 62314 71216 89020 115726 124628 155785 178040 231452 249256 289315 311570 356080 405041 462904 498512 578630 623140 810082 925808 1157260 1246280 1620164 2025205 2314520 2492560 3240328 4050410 4629040 6480656 8100820 10193419 16201640 20386838 32403280 40773676 50967095 71353933 81547352 101934190 132514447 142707866 163094704 203868380 265028894 285415732 356769665 407736760 530057788 570831464 662572235 713539330 815473520 927601129 1060115576 1141662928 1325144470 1427078660 1855202258 2120231152 2650288940 2854157320 3710404516 4638005645 5300577880 5708314640 7420809032 9276011290 10601155760 14841618064 18552022580 37104045160 45370907969 74208090320 90741815938 181483631876 226854539845 317596355783 362967263752 453709079690 589821803597 635192711566 725934527504 907418159380 1179643607194 1270385423132 1587981778915 1814836318760 2359287214388 2540770846264 2949109017985 3175963557830 3629672637520 4128752625179 4718574428776 5081541692528 5898218035970 6351927115660 8257505250358 9437148857552 11796436071940 12703854231320 16515010500716 20643763125895 23592872143880 25407708462640 33030021001432 41287526251790 47185744287760 66060042002864 82575052503580 165150105007160 330300210014320