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330303320011220 = 225373316389211067
BaseRepresentation
bin100101100011010001011110…
…0000011101011000111010100
31121022111200121021202102021212
41023012202330003223013110
5321243142144410324340
63130255130032000552
7126400425120550643
oct11306427403530724
91538450537672255
10330303320011220
119627694017a3a6
1231066bb5690158
131123c61444053a
145b7caa1c2d35a
15282be324eda65
hex12c68bc0eb1d4

330303320011220 has 96 divisors (see below), whose sum is σ = 714651358861440. Its totient is φ = 128141444344320.

The previous prime is 330303320011199. The next prime is 330303320011283. The reversal of 330303320011220 is 22110023303033.

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 31 ways as a sum of consecutive naturals, for example, 1564816127 + ... + 1565027193.

It is an arithmetic number, because the mean of its divisors is an integer number (7444284988140).

Almost surely, 2330303320011220 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 330303320011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357325679430720).

330303320011220 is an abundant number, since it is smaller than the sum of its proper divisors (384348038850220).

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

330303320011220 is a wasteful number, since it uses less digits than its factorization.

330303320011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217833 (or 217831 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 330303320011220 its reverse (22110023303033), we get a palindrome (352413343314253).

The spelling of 330303320011220 in words is "three hundred thirty trillion, three hundred three billion, three hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 331 370 662 740 1324 1655 3310 6389 6620 12247 12778 24494 25556 31945 48988 61235 63890 122470 127780 211067 236393 244940 422134 472786 844268 945572 1055335 1181965 2110670 2114759 2363930 4221340 4229518 4727860 7809479 8459036 10573795 15618958 21147590 31237916 39047395 42295180 69863177 78094790 78246083 139726354 156189580 156492166 279452708 312984332 349315885 391230415 698631770 782460830 1348507063 1397263540 1564921660 2584937549 2697014126 5169875098 5394028252 6742535315 10339750196 12924687745 13485070630 25849375490 26970141260 49894761331 51698750980 99789522662 199579045324 249473806655 446355837853 498947613310 892711675706 997895226620 1785423351412 2231779189265 4463558378530 8927116757060 16515166000561 33030332001122 66060664002244 82575830002805 165151660005610 330303320011220