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20211311320320 = 283550310463941
BaseRepresentation
bin1001001100001110100000…
…00010000001110100000000
32122120011221000222210120210
410212013100002001310000
510122120231144222240
6110552540453034120
74154135064430101
oct446072002016400
978504830883523
1020211311320320
11649262937264a
122325107325940
13b37bc2b8cb53
144dc3386cc3a8
15250b21392780
hex1261d0081d00

20211311320320 has 144 divisors (see below), whose sum is σ = 64678211482752. Its totient is φ = 5378967429120.

The previous prime is 20211311320289. The next prime is 20211311320327. The reversal of 20211311320320 is 2302311311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211311320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3300451 + ... + 7163490.

It is an arithmetic number, because the mean of its divisors is an integer number (449154246408).

Almost surely, 220211311320320 is an apocalyptic number.

20211311320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211311320320 is an abundant number, since it is smaller than the sum of its proper divisors (44466900162432).

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

20211311320320 is a wasteful number, since it uses less digits than its factorization.

20211311320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464468 (or 10464454 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20211311320320 its reverse (2302311311202), we get a palindrome (22513622631522).

The spelling of 20211311320320 in words is "twenty trillion, two hundred eleven billion, three hundred eleven million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 503 640 768 960 1006 1280 1509 1920 2012 2515 3018 3840 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 30180 32192 40240 48288 60360 64384 80480 96576 120720 128768 160960 193152 241440 321920 386304 482880 643840 965760 1931520 10463941 20927882 31391823 41855764 52319705 62783646 83711528 104639410 125567292 156959115 167423056 209278820 251134584 313918230 334846112 418557640 502269168 627836460 669692224 837115280 1004538336 1255672920 1339384448 1674230560 2009076672 2511345840 2678768896 3348461120 4018153344 5022691680 5263362323 6696922240 8036306688 10045383360 10526724646 13393844480 15790086969 20090766720 21053449292 26316811615 31580173938 40181533440 42106898584 52633623230 63160347876 78950434845 84213797168 105267246460 126320695752 157900869690 168427594336 210534492920 252641391504 315801739380 336855188672 421068985840 505282783008 631603478760 673710377344 842137971680 1010565566016 1263206957520 1347420754688 1684275943360 2021131132032 2526413915040 3368551886720 4042262264064 5052827830080 6737103773440 10105655660160 20211311320320