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10330323120 = 2433513367889
BaseRepresentation
bin10011001111011110…
…00011100010110000
3222122221022210021000
421213233003202300
5132124030314440
64425022402000
7513665204055
oct114757034260
928587283230
1010330323120
11442121a727
122003730300
13c88274340
146ddd8b02c
15406dab730
hex267bc38b0

10330323120 has 160 divisors (see below), whose sum is σ = 38319422400. Its totient is φ = 2542841856.

The previous prime is 10330323083. The next prime is 10330323181. The reversal of 10330323120 is 2132303301.

10330323120 is a `hidden beast` number, since 1 + 0 + 330 + 323 + 12 + 0 = 666.

10330323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10330323093 and 10330323102.

It is an unprimeable number.

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, 155865 + ... + 212024.

It is an arithmetic number, because the mean of its divisors is an integer number (239496390).

Almost surely, 210330323120 is an apocalyptic number.

10330323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330323120 is an abundant number, since it is smaller than the sum of its proper divisors (27989099280).

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

10330323120 is a wasteful number, since it uses less digits than its factorization.

10330323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367924 (or 367912 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10330323120 its reverse (2132303301), we get a palindrome (12462626421).

The spelling of 10330323120 in words is "ten billion, three hundred thirty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 367889 735778 1103667 1471556 1839445 2207334 2943112 3311001 3678890 4414668 4782557 5518335 5886224 6622002 7357780 8829336 9565114 9933003 11036670 13244004 14347671 14715560 16555005 17658672 19130228 19866006 22073340 23912785 26488008 28695342 29431120 33110010 38260456 39732012 43043013 44146680 47825570 49665015 52976016 57390684 66220020 71738355 76520912 79464024 86086026 88293360 95651140 99330030 114781368 129129039 132440040 143476710 158928048 172172052 191302280 198660060 215215065 229562736 258258078 264880080 286953420 344344104 382604560 397320120 430430130 516516156 573906840 645645195 688688208 794640240 860860260 1033032312 1147813680 1291290390 1721720520 2066064624 2582580780 3443441040 5165161560 10330323120