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20430033120 = 2532572026789
BaseRepresentation
bin10011000001101110…
…011001000011100000
31221201210201012210100
4103001232121003200
5313320042024440
613215130302400
71322163262530
oct230156310340
957653635710
1020430033120
1187342482a2
123b61b87a00
131c078032c3
14dbb4674c0
157e88b3230
hex4c1b990e0

20430033120 has 144 divisors (see below), whose sum is σ = 79677168480. Its totient is φ = 4669719552.

The previous prime is 20430033103. The next prime is 20430033133. The reversal of 20430033120 is 2133003402.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 20430033093 and 20430033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003315 + ... + 1023474.

It is an arithmetic number, because the mean of its divisors is an integer number (553313670).

Almost surely, 220430033120 is an apocalyptic number.

20430033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430033120 is an abundant number, since it is smaller than the sum of its proper divisors (59247135360).

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

20430033120 is a wasteful number, since it uses less digits than its factorization.

20430033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026817 (or 2026806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20430033120 its reverse (2133003402), we get a palindrome (22563036522).

The spelling of 20430033120 in words is "twenty billion, four hundred thirty million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2026789 4053578 6080367 8107156 10133945 12160734 14187523 16214312 18241101 20267890 24321468 28375046 30401835 32428624 36482202 40535780 42562569 48642936 56750092 60803670 64857248 70937615 72964404 81071560 85125138 91205505 97285872 113500184 121607340 127687707 141875230 145928808 162143120 170250276 182411010 194571744 212812845 227000368 243214680 255375414 283750460 291857616 324286240 340500552 364822020 425625690 454000736 486429360 510750828 567500920 583715232 638438535 681001104 729644040 851251380 972858720 1021501656 1135001840 1276877070 1362002208 1459288080 1702502760 2043003312 2270003680 2553754140 2918576160 3405005520 4086006624 5107508280 6810011040 10215016560 20430033120