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20130233410000 = 24547241082109
BaseRepresentation
bin1001001001110111011110…
…11010010110000111010000
32122021102122120121012121101
410210323233122112013100
510114303204223110000
6110451411312034144
74145234643523600
oct444735732260720
978242576535541
1020130233410000
116461202a6959a
12231145a532954
13b3037163c99c
144d8446724c00
1524d978452e6a
hex124eef6961d0

20130233410000 has 150 divisors (see below), whose sum is σ = 56694421016970. Its totient is φ = 6901794144000.

The previous prime is 20130233409971. The next prime is 20130233410019. The reversal of 20130233410000 is 1433203102.

It can be written as a sum of positive squares in 5 ways, for example, as 2811685068864 + 17318548341136 = 1676808^2 + 4161556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20130233410000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20051055 + ... + 21031054.

Almost surely, 220130233410000 is an apocalyptic number.

20130233410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130233410000 is an abundant number, since it is smaller than the sum of its proper divisors (36564187606970).

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

20130233410000 is an equidigital number, since it uses as much as digits as its factorization.

20130233410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41082151 (or 41082123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20130233410000 its reverse (1433203102), we get a palindrome (20131666613102).

The spelling of 20130233410000 in words is "twenty trillion, one hundred thirty billion, two hundred thirty-three million, four hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 490000 41082109 82164218 164328436 205410545 287574763 328656872 410821090 575149526 657313744 821642180 1027052725 1150299052 1437873815 1643284360 2013023341 2054105450 2300598104 2875747630 3286568720 4026046682 4108210900 4601196208 5135263625 5751495260 7189369075 8052093364 8216421800 10065116705 10270527250 11502990520 14378738150 16104186728 16432843600 20130233410 20541054500 23005981040 25676318125 28757476300 32208373456 35946845375 40260466820 41082109000 50325583525 51352636250 57514952600 71893690750 80520933640 82164218000 100651167050 102705272500 115029905200 143787381500 161041867280 179734226875 201302334100 205410545000 251627917625 287574763000 359468453750 402604668200 410821090000 503255835250 575149526000 718936907500 805209336400 1006511670500 1258139588125 1437873815000 2013023341000 2516279176250 2875747630000 4026046682000 5032558352500 10065116705000 20130233410000