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330240420201300 = 2235271091442727917
BaseRepresentation
bin100101100010110100001011…
…0111011111100001101010100
31121022021200020200200000011020
41023011220112323330031110
5321241124340032420200
63130210204334441140
7126363040320153630
oct11305502673741524
91538250220600136
10330240420201300
11962521a2943214
12310569806631b0
13112366cbcaacbb
145b79a161b3dc0
15282a4a03e7ea0
hex12c5a16efc354

330240420201300 has 144 divisors (see below), whose sum is σ = 1102013292885120. Its totient is φ = 74791015165440.

The previous prime is 330240420201137. The next prime is 330240420201397. The reversal of 330240420201300 is 3102024042033.

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, 721135059 + ... + 721592858.

It is an arithmetic number, because the mean of its divisors is an integer number (7652870089480).

Almost surely, 2330240420201300 is an apocalyptic number.

330240420201300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330240420201300 is an abundant number, since it is smaller than the sum of its proper divisors (771772872683820).

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

330240420201300 is a wasteful number, since it uses less digits than its factorization.

330240420201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442728050 (or 1442728043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 330240420201300 its reverse (3102024042033), we get a palindrome (333342444243333).

The spelling of 330240420201300 in words is "three hundred thirty trillion, two hundred forty billion, four hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 109 140 150 175 210 218 300 327 350 420 436 525 545 654 700 763 1050 1090 1308 1526 1635 2100 2180 2289 2725 3052 3270 3815 4578 5450 6540 7630 8175 9156 10900 11445 15260 16350 19075 22890 32700 38150 45780 57225 76300 114450 228900 1442727917 2885455834 4328183751 5770911668 7213639585 8656367502 10099095419 14427279170 17312735004 20198190838 21640918755 28854558340 30297286257 36068197925 40396381676 43281837510 50495477095 60594572514 72136395850 86563675020 100990954190 108204593775 121189145028 144272791700 151486431285 157257342953 201981908380 216409187550 252477385475 302972862570 314514685906 432818375100 471772028859 504954770950 605945725140 629029371812 757432156425 786286714765 943544057718 1009909541900 1100801400671 1514864312850 1572573429530 1887088115436 2201602801342 2358860144295 3029728625700 3145146859060 3302404202013 3931433573825 4403205602684 4717720288590 5504007003355 6604808404026 7862867147650 9435440577180 11008014006710 11794300721475 13209616808052 15725734295300 16512021010065 22016028013420 23588601442950 27520035016775 33024042020130 47177202885900 55040070033550 66048084040260 82560105050325 110080140067100 165120210100650 330240420201300