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20211141314000 = 2453713111050227
BaseRepresentation
bin1001001100001110001011…
…11001100000010111010000
32122120011111012002120202102
410212013011321200113100
510122114404134022000
6110552511541135532
74154130631413620
oct446070571402720
978504435076672
1020211141314000
11649255140635a
12232507a3ba5a8
13b37b968a79b0
144dc31dcb6880
15250b114b03d5
hex1261c5e605d0

20211141314000 has 160 divisors (see below), whose sum is σ = 60148357092096. Its totient is φ = 6396493017600.

The previous prime is 20211141313973. The next prime is 20211141314003. The reversal of 20211141314000 is 41314111202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211141314003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55343114 + ... + 55707113.

Almost surely, 220211141314000 is an apocalyptic number.

20211141314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211141314000 is an abundant number, since it is smaller than the sum of its proper divisors (39937215778096).

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

20211141314000 is a wasteful number, since it uses less digits than its factorization.

20211141314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111050270 (or 111050254 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20211141314000 its reverse (41314111202), we get a palindrome (20252455425202).

The spelling of 20211141314000 in words is "twenty trillion, two hundred eleven billion, one hundred forty-one million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 182000 111050227 222100454 444200908 555251135 777351589 888401816 1110502270 1443652951 1554703178 1776803632 2221004540 2776255675 2887305902 3109406356 3886757945 4442009080 5552511350 5774611804 6218812712 7218264755 7773515890 8884018160 10105570657 11105022700 11549223608 12437625424 13881278375 14436529510 15547031780 19433789725 20211141314 22210045400 23098447216 27762556750 28873059020 31094063560 36091323775 38867579450 40422282628 44420090800 50527853285 55525113500 57746118040 62188127120 72182647550 77735158900 80844565256 97168948625 101055706570 111050227000 115492236080 144365295100 155470317800 161689130512 180456618875 194337897250 202111413140 222100454000 252639266425 288730590200 310940635600 360913237750 388675794500 404222826280 505278532850 577461180400 721826475500 777351589000 808445652560 1010557065700 1263196332125 1443652951000 1554703178000 2021114131400 2526392664250 2887305902000 4042228262800 5052785328500 10105570657000 20211141314000