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20503631300000 = 25551731185181
BaseRepresentation
bin1001010100101110111111…
…01010010000010110100000
32200121010110022121101000212
410222113133222100112200
510141412414103100000
6111335123240433252
74214224045314602
oct452273752202640
980533408541025
1020503631300000
1165955a5381a12
1223718a8778828
13b5963a850524
1450c54985b172
1525852e6aec35
hex12a5dfa905a0

20503631300000 has 144 divisors (see below), whose sum is σ = 50746615618104. Its totient is φ = 8154038400000.

The previous prime is 20503631299993. The next prime is 20503631300039. The reversal of 20503631300000 is 313630502.

It can be written as a sum of positive squares in 12 ways, for example, as 9247364738704 + 11256266561296 = 3040948^2 + 3355036^2 .

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, 16707410 + ... + 17892590.

Almost surely, 220503631300000 is an apocalyptic number.

20503631300000 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 20503631300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373307809052).

20503631300000 is an abundant number, since it is smaller than the sum of its proper divisors (30242984318104).

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

20503631300000 is an equidigital number, since it uses as much as digits as its factorization.

20503631300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185389 (or 1185361 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 20503631300000 its reverse (313630502), we get a palindrome (20503944930502).

The spelling of 20503631300000 in words is "twenty trillion, five hundred three billion, six hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 625 692 800 865 1000 1250 1384 1730 2000 2500 2768 3125 3460 4000 4325 5000 5536 6250 6920 8650 10000 12500 13840 17300 20000 21625 25000 27680 34600 43250 50000 69200 86500 100000 108125 138400 173000 216250 346000 432500 540625 692000 865000 1081250 1185181 1730000 2162500 2370362 3460000 4325000 4740724 5925905 8650000 9481448 11851810 17300000 18962896 23703620 29629525 37925792 47407240 59259050 94814480 118518100 148147625 189628960 205036313 237036200 296295250 410072626 474072400 592590500 740738125 820145252 948144800 1025181565 1185181000 1481476250 1640290504 2050363130 2370362000 2962952500 3280581008 3703690625 4100726260 4740724000 5125907825 5925905000 6561162016 7407381250 8201452520 10251815650 11851810000 14814762500 16402905040 20503631300 23703620000 25629539125 29629525000 32805810080 41007262600 51259078250 59259050000 82014525200 102518156500 118518100000 128147695625 164029050400 205036313000 256295391250 410072626000 512590782500 640738478125 820145252000 1025181565000 1281476956250 2050363130000 2562953912500 4100726260000 5125907825000 10251815650000 20503631300000