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330324423420120 = 233519312107464197
BaseRepresentation
bin100101100011011011010010…
…1111010110010100011011000
31121022120201002000112122222220
41023012312211322302203120
5321244013404343420440
63130312540055144040
7126402103101556263
oct11306664572624330
91538521060478886
10330324423420120
119628488a5318a8
123106b105075020
13112415c85c063c
145b7db0489dcda
15282c76a0758d0
hex12c6da5eb28d8

330324423420120 has 128 divisors (see below), whose sum is σ = 1043135347564800. Its totient is φ = 83449933502976.

The previous prime is 330324423420031. The next prime is 330324423420163. The reversal of 330324423420120 is 21024324423033.

It is a super-2 number, since 2×3303244234201202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711371862 + ... + 711836058.

It is an arithmetic number, because the mean of its divisors is an integer number (8149494902850).

Almost surely, 2330324423420120 is an apocalyptic number.

330324423420120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330324423420120 is an abundant number, since it is smaller than the sum of its proper divisors (712810924144680).

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

330324423420120 is a wasteful number, since it uses less digits than its factorization.

330324423420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776337 (or 776333 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 330324423420120 its reverse (21024324423033), we get a palindrome (351348747843153).

The spelling of 330324423420120 in words is "three hundred thirty trillion, three hundred twenty-four billion, four hundred twenty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 312107 464197 624214 928394 936321 1248428 1392591 1560535 1856788 1872642 2320985 2496856 2785182 3121070 3713576 3745284 4641970 4681605 5570364 5930033 6242140 6962955 7490568 8819743 9283940 9363210 11140728 11860066 12484280 13925910 17639486 17790099 18567880 18726420 23720132 26459229 27851820 29650165 35278972 35580198 37452840 44098715 47440264 52918458 55703640 59300330 70557944 71160396 88197430 88950495 105836916 118600660 132296145 142320792 176394860 177900990 211673832 237201320 264592290 352789720 355801980 529184580 711603960 1058369160 144879133079 289758266158 434637399237 579516532316 724395665395 869274798474 1159033064632 1448791330790 1738549596948 2173186996185 2752703528501 2897582661580 3477099193896 4346373992370 5505407057002 5795165323160 8258110585503 8692747984740 11010814114004 13763517642505 16516221171006 17385495969480 22021628228008 27527035285010 33032442342012 41290552927515 55054070570020 66064884684024 82581105855030 110108141140040 165162211710060 330324423420120