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330030320231320 = 235197325583232523
BaseRepresentation
bin100101100001010010010110…
…0000000001010001110011000
31121021112120221110111200111121
41023002210230000022032120
5321224204043434400240
63125525500331135024
7126341621665656202
oct11302445400121630
91537476843450447
10330030320231320
1196181088997095
12310221065a4474
131121c95836b737
145b6d7a4989772
152824ca541a04a
hex12c292c00a398

330030320231320 has 128 divisors (see below), whose sum is σ = 792392682931200. Its totient is φ = 123345562143744.

The previous prime is 330030320231237. The next prime is 330030320231327. The reversal of 330030320231320 is 23132023030033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030320231327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419228579 + ... + 1419461101.

It is an arithmetic number, because the mean of its divisors is an integer number (6190567835400).

Almost surely, 2330030320231320 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 330030320231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396196341465600).

330030320231320 is an abundant number, since it is smaller than the sum of its proper divisors (462362362699880).

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

330030320231320 is a wasteful number, since it uses less digits than its factorization.

330030320231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258209 (or 258205 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 330030320231320 its reverse (23132023030033), we get a palindrome (353162343261353).

The spelling of 330030320231320 in words is "three hundred thirty trillion, thirty billion, three hundred twenty million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 292 365 380 584 730 760 1387 1460 2774 2920 5548 6935 11096 13870 25583 27740 51166 55480 102332 127915 204664 232523 255830 465046 486077 511660 930092 972154 1023320 1162615 1860184 1867559 1944308 2325230 2430385 3735118 3888616 4417937 4650460 4860770 7470236 8835874 9300920 9337795 9721540 14940472 16974179 17671748 18675590 19443080 22089685 33948358 35343496 35483621 37351180 44179370 67896716 70967242 74702360 84870895 88358740 135793432 141934484 169741790 176717480 177418105 283868968 322509401 339483580 354836210 645018802 678967160 709672420 1290037604 1419344840 1612547005 2580075208 3225094010 5948635909 6450188020 11897271818 12900376040 23794543636 29743179545 47589087272 59486359090 113024082271 118972718180 226048164542 237945436360 434250421357 452096329084 565120411355 868500842714 904192658168 1130240822710 1737001685428 2171252106785 2260481645420 3474003370856 4342504213570 4520963290840 8250758005783 8685008427140 16501516011566 17370016854280 33003032023132 41253790028915 66006064046264 82507580057830 165015160115660 330030320231320