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330001321130300 = 225247891571502171
BaseRepresentation
bin100101100001000100110101…
…1100001010111100100111100
31121021102211002110120201102002
41023002021223201113210330
5321223220201202132200
63125504303011521432
7126336544241454161
oct11302115341274474
91537384073521362
10330001321130300
119616a8577302a6
12310185728b9278
1311219cb6469a71
145b6c213444068
1528241595edbd5
hex12c226b85793c

330001321130300 has 144 divisors (see below), whose sum is σ = 740028620136960. Its totient is φ = 127658845248000.

The previous prime is 330001321130279. The next prime is 330001321130317. The reversal of 330001321130300 is 3031123100033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 656898215 + ... + 657400385.

It is an arithmetic number, because the mean of its divisors is an integer number (5139087639840).

Almost surely, 2330001321130300 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 330001321130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370014310068480).

330001321130300 is an abundant number, since it is smaller than the sum of its proper divisors (410027299006660).

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

330001321130300 is a wasteful number, since it uses less digits than its factorization.

330001321130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503892 (or 503885 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 330001321130300 its reverse (3031123100033), we get a palindrome (333032444230333).

The spelling of 330001321130300 in words is "three hundred thirty trillion, one billion, three hundred twenty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 89 94 100 178 188 235 356 445 470 890 940 1175 1571 1780 2225 2350 3142 4183 4450 4700 6284 7855 8366 8900 15710 16732 20915 31420 39275 41830 73837 78550 83660 104575 139819 147674 157100 209150 279638 295348 369185 418300 502171 559276 699095 738370 1004342 1398190 1476740 1845925 2008684 2510855 2796380 3495475 3691850 5021710 6571493 6990950 7383700 10043420 12554275 13142986 13981900 23602037 25108550 26285972 32857465 44693219 47204074 50217100 65714930 89386438 94408148 118010185 131429860 164287325 178772876 223466095 236020370 328574650 446932190 472040740 590050925 657149300 788910641 893864380 1117330475 1180101850 1577821282 2100581293 2234660950 2360203700 3155642564 3944553205 4201162586 4469321900 7889106410 8402325172 10502906465 15778212820 19722766025 21005812930 37078800127 39445532050 42011625860 52514532325 70213047049 74157600254 78891064100 105029064650 140426094098 148315200508 185394000635 210058129300 280852188196 351065235245 370788001270 702130470490 741576002540 926970003175 1404260940980 1755326176225 1853940006350 3300013211303 3510652352450 3707880012700 6600026422606 7021304704900 13200052845212 16500066056515 33000132113030 66000264226060 82500330282575 165000660565150 330001321130300