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20201012000 = 255313388481
BaseRepresentation
bin10010110100000100…
…101111101100100000
31221010211202201212122
4102310010233230200
5312332424341000
613140305443412
71313412524501
oct226404575440
957124681778
1020201012000
118626a43344
123ab9340568
131b9c227750
14d98c8cba8
157d3725085
hex4b412fb20

20201012000 has 96 divisors (see below), whose sum is σ = 53452015344. Its totient is φ = 7458816000.

The previous prime is 20201011993. The next prime is 20201012017. The reversal of 20201012000 is 21010202.

It can be written as a sum of positive squares in 8 ways, for example, as 998812816 + 19202199184 = 31604^2 + 138572^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142241 + ... + 246240.

Almost surely, 220201012000 is an apocalyptic number.

20201012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201012000 is an abundant number, since it is smaller than the sum of its proper divisors (33251003344).

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

20201012000 is a wasteful number, since it uses less digits than its factorization.

20201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388519 (or 388501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20201012000 its reverse (21010202), we get a palindrome (20222022202).

The spelling of 20201012000 in words is "twenty billion, two hundred one million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 388481 776962 1553924 1942405 3107848 3884810 5050253 6215696 7769620 9712025 10100506 12431392 15539240 19424050 20201012 25251265 31078480 38848100 40402024 48560125 50502530 62156960 77696200 80804048 97120250 101005060 126256325 155392400 161608096 194240500 202010120 252512650 310784800 388481000 404020240 505025300 631281625 776962000 808040480 1010050600 1262563250 1553924000 2020101200 2525126500 4040202400 5050253000 10100506000 20201012000