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20103030130300 = 225213157547917977
BaseRepresentation
bin1001001001000100110011…
…11110000100011001111100
32122011211102201211102020121
410210202121332010121330
510113332001203132200
6110431112103224324
74143252553463335
oct444423176043174
978154381742217
1020103030130300
116450713472957
1223081281480a4
13b2a9277c7090
144d6dc58c928c
1524cdd5116e1a
hex124899f8467c

20103030130300 has 144 divisors (see below), whose sum is σ = 47289725277760. Its totient is φ = 7373622896640.

The previous prime is 20103030130243. The next prime is 20103030130349. The reversal of 20103030130300 is 303103030102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118254912 + ... + 1118272888.

Almost surely, 220103030130300 is an apocalyptic number.

20103030130300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103030130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23644862638880).

20103030130300 is an abundant number, since it is smaller than the sum of its proper divisors (27186695147460).

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

20103030130300 is a wasteful number, since it uses less digits than its factorization.

20103030130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23640 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 20103030130300 its reverse (303103030102), we get a palindrome (20406133160402).

The spelling of 20103030130300 in words is "twenty trillion, one hundred three billion, thirty million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 5479 7850 8164 10205 10958 15700 17977 20410 21916 27395 35954 40820 51025 54790 71227 71908 89885 102050 109580 136975 142454 179770 204100 233701 273950 284908 356135 359540 449425 467402 547900 712270 860203 898850 934804 1168505 1424540 1720406 1780675 1797700 2337010 2822389 3440812 3561350 4301015 4674020 5644778 5842525 7122700 8602030 11182639 11289556 11685050 14111945 17204060 21505075 22365278 23370100 28223890 36691057 43010150 44730556 55913195 56447780 70559725 73382114 86020300 98495983 111826390 141119450 146764228 183455285 196991966 223652780 279565975 282238900 366910570 393983932 492479915 559131950 733821140 917276425 984959830 1118263900 1280447779 1834552850 1969919660 2462399575 2560895558 3669105700 4924799150 5121791116 6402238895 9849598300 12804477790 15463869331 25608955580 30927738662 32011194475 61855477324 64022388950 77319346655 128044777900 154638693310 201030301303 309277386620 386596733275 402060602606 773193466550 804121205212 1005151506515 1546386933100 2010303013030 4020606026060 5025757532575 10051515065150 20103030130300