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20310313360000 = 27541311938007
BaseRepresentation
bin1001001111000110111010…
…00000110101101010000000
32122220122110122210111122011
410213203131000311222000
510130231010210010000
6111110232410222304
74164241333041226
oct447433500655200
978818418714564
1020310313360000
116520612448354
122340336a24994
13b4433c9c7911
1450304adb2b16
152534b7ba02ba
hex1278dd035a80

20310313360000 has 160 divisors (see below), whose sum is σ = 50947245787680. Its totient is φ = 8062104960000.

The previous prime is 20310313359989. The next prime is 20310313360177. The reversal of 20310313360000 is 6331301302.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9510997 + ... + 11449003.

It is an arithmetic number, because the mean of its divisors is an integer number (318420286173).

Almost surely, 220310313360000 is an apocalyptic number.

20310313360000 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 20310313360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473622893840).

20310313360000 is an abundant number, since it is smaller than the sum of its proper divisors (30636932427680).

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

20310313360000 is an equidigital number, since it uses as much as digits as its factorization.

20310313360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938172 (or 1938145 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 20310313360000 its reverse (6331301302), we get a palindrome (20316644661302).

The spelling of 20310313360000 in words is "twenty trillion, three hundred ten billion, three hundred thirteen million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 500 524 625 640 655 800 1000 1048 1250 1310 1600 2000 2096 2500 2620 3200 3275 4000 4192 5000 5240 6550 8000 8384 10000 10480 13100 16000 16375 16768 20000 20960 26200 32750 40000 41920 52400 65500 80000 81875 83840 104800 131000 163750 209600 262000 327500 419200 524000 655000 1048000 1310000 1938007 2096000 2620000 3876014 5240000 7752028 9690035 10480000 15504056 19380070 31008112 38760140 48450175 62016224 77520280 96900350 124032448 155040560 193800700 242250875 248064896 253878917 310081120 387601400 484501750 507757834 620162240 775202800 969003500 1015515668 1211254375 1240324480 1269394585 1550405600 1938007000 2031031336 2422508750 2538789170 3100811200 3876014000 4062062672 4845017500 5077578340 6201622400 6346972925 7752028000 8124125344 9690035000 10155156680 12693945850 15504056000 16248250688 19380070000 20310313360 25387891700 31008112000 31734864625 32496501376 38760140000 40620626720 50775783400 63469729250 77520280000 81241253440 101551566800 126939458500 155040560000 158674323125 162482506880 203103133600 253878917000 317348646250 406206267200 507757834000 634697292500 812412534400 1015515668000 1269394585000 2031031336000 2538789170000 4062062672000 5077578340000 10155156680000 20310313360000