Search a number
-
+
21243057300 = 22335210177899
BaseRepresentation
bin10011110010001011…
…110101010010010100
32000211110120010022000
4103302023311102110
5322001210313200
613431532235300
71351265002443
oct236213652224
960743503260
1021243057300
119011174403
12414a30bb30
1320070963ba
141057422d5a
15844e5e300
hex4f22f5494

21243057300 has 144 divisors (see below), whose sum is σ = 68969544000. Its totient is φ = 5608656000.

The previous prime is 21243057263. The next prime is 21243057313. The reversal of 21243057300 is 375034212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233751 + ... + 311649.

Almost surely, 221243057300 is an apocalyptic number.

21243057300 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 21243057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34484772000).

21243057300 is an abundant number, since it is smaller than the sum of its proper divisors (47726486700).

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

21243057300 is a wasteful number, since it uses less digits than its factorization.

21243057300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78023 (or 78010 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 21243057300 in words is "twenty-one billion, two hundred forty-three million, fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 101 108 135 150 180 202 225 270 300 303 404 450 505 540 606 675 900 909 1010 1212 1350 1515 1818 2020 2525 2700 2727 3030 3636 4545 5050 5454 6060 7575 9090 10100 10908 13635 15150 18180 22725 27270 30300 45450 54540 68175 77899 90900 136350 155798 233697 272700 311596 389495 467394 701091 778990 934788 1168485 1402182 1557980 1947475 2103273 2336970 2804364 3505455 3894950 4206546 4673940 5842425 7010910 7789900 7867799 8413092 10516365 11684850 14021820 15735598 17527275 21032730 23369700 23603397 31471196 35054550 39338995 42065460 47206794 52581825 70109100 70810191 78677990 94413588 105163650 118016985 141620382 157355980 196694975 210327300 212430573 236033970 283240764 354050955 393389950 424861146 472067940 590084925 708101910 786779900 849722292 1062152865 1180169850 1416203820 1770254775 2124305730 2360339700 3540509550 4248611460 5310764325 7081019100 10621528650 21243057300