Search a number
-
+
330132101313300 = 2235211137695386977
BaseRepresentation
bin100101100010000001101111…
…0101000001011001100010100
31121021220022122202120100220120
41023010003132220023030110
5321232341020414011200
63130044332121031540
7126352154140620426
oct11304033650131424
91537808582510816
10330132101313300
1196210268735470
12310399909255b0
1311229428b76430
145b7469c39a816
152827760bc29a0
hex12c40dea0b314

330132101313300 has 144 divisors (see below), whose sum is σ = 1122172110679872. Its totient is φ = 73875714969600.

The previous prime is 330132101313233. The next prime is 330132101313317. The reversal of 330132101313300 is 3313101231033.

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, 3847650589 + ... + 3847736388.

Almost surely, 2330132101313300 is an apocalyptic number.

330132101313300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330132101313300 is an abundant number, since it is smaller than the sum of its proper divisors (792040009366572).

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

330132101313300 is a wasteful number, since it uses less digits than its factorization.

330132101313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7695387018 (or 7695387011 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 330132101313300 its reverse (3313101231033), we get a palindrome (333445202544333).

The spelling of 330132101313300 in words is "three hundred thirty trillion, one hundred thirty-two billion, one hundred one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 7695386977 15390773954 23086160931 30781547908 38476934885 46172321862 76953869770 84649256747 92344643724 100040030701 115430804655 153907739540 169298513494 192384674425 200080061402 230861609310 253947770241 300120092103 338597026988 384769348850 400160122804 423246283735 461723218620 500200153505 507895540482 577154023275 600240184206 769538697700 846492567470 1000400307010 1015791080964 1100440337711 1154308046550 1200480368412 1269738851205 1500600460515 1692985134940 2000800614020 2116231418675 2200880675422 2308616093100 2501000767525 2539477702410 3001200921030 3301321013133 4232462837350 4401761350844 5002001535050 5078955404820 5502201688555 6002401842060 6348694256025 6602642026266 7503002302575 8464925674700 10004003070100 11004403377110 12697388512050 13205284052532 15006004605150 16506605065665 22008806754220 25394777024100 27511008442775 30012009210300 33013210131330 55022016885550 66026420262660 82533025328325 110044033771100 165066050656650 330132101313300