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330130310020020 = 223351061576203983
BaseRepresentation
bin100101100010000000111001…
…1110110111011101110110100
31121021220011000220221020111000
41023010001303312323232310
5321232323333331120040
63130043434251243300
7126352061560105146
oct11304016366735664
91537804026836430
10330130310020020
119620a5295882a4
1231039570a49530
1311229201a14393
145b7456c50cc96
1528276a87d9130
hex12c4073dbbbb4

330130310020020 has 96 divisors (see below), whose sum is σ = 1028040100093440. Its totient is φ = 87951775812480.

The previous prime is 330130310019929. The next prime is 330130310020031. The reversal of 330130310020020 is 20020013031033.

330130310020020 is a `hidden beast` number, since 3 + 3 + 0 + 130 + 310 + 0 + 200 + 20 = 666.

It is a super-2 number, since 2×3301303100200202 (a number of 30 digits) contains 22 as substring.

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 = 330130310019975 and 330130310020002.

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, 287529052 + ... + 288674931.

It is an arithmetic number, because the mean of its divisors is an integer number (10708751042640).

Almost surely, 2330130310020020 is an apocalyptic number.

330130310020020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330130310020020 is an abundant number, since it is smaller than the sum of its proper divisors (697909790073420).

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

330130310020020 is a wasteful number, since it uses less digits than its factorization.

330130310020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576205062 (or 576205054 counting only the distinct ones).

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

Adding to 330130310020020 its reverse (20020013031033), we get a palindrome (350150323051053).

The spelling of 330130310020020 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1061 2122 3183 4244 5305 6366 9549 10610 12732 15915 19098 21220 28647 31830 38196 47745 57294 63660 95490 114588 143235 190980 286470 572940 576203983 1152407966 1728611949 2304815932 2881019915 3457223898 5185835847 5762039830 6914447796 8643059745 10371671694 11524079660 15557507541 17286119490 20743343388 25929179235 31115015082 34572238980 51858358470 62230030164 77787537705 103716716940 155575075410 311150150820 611352425963 1222704851926 1834057277889 2445409703852 3056762129815 3668114555778 5502171833667 6113524259630 7336229111556 9170286389445 11004343667334 12227048519260 16506515501001 18340572778890 22008687334668 27510859168335 33013031002002 36681145557780 55021718336670 66026062004004 82532577505005 110043436673340 165065155010010 330130310020020