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21332120320 = 285715115767
BaseRepresentation
bin10011110111011111…
…100101001100000000
32001001200010222210101
4103313133211030000
5322142010322240
613444433212144
71353426013420
oct236737451400
961050128711
1021332120320
119057475805
124174101054
13201c67aa04
1410651a8480
1584cba339a
hex4f77e5300

21332120320 has 144 divisors (see below), whose sum is σ = 58787140608. Its totient is φ = 7264972800.

The previous prime is 21332120317. The next prime is 21332120321. The reversal of 21332120320 is 2302123312.

It is not an unprimeable number, because it can be changed into a prime (21332120321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345077 + ... + 1360843.

It is an arithmetic number, because the mean of its divisors is an integer number (408244032).

Almost surely, 221332120320 is an apocalyptic number.

21332120320 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 21332120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393570304).

21332120320 is an abundant number, since it is smaller than the sum of its proper divisors (37455020288).

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

21332120320 is a wasteful number, since it uses less digits than its factorization.

21332120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21332120320 its reverse (2302123312), we get a palindrome (23634243632).

The spelling of 21332120320 in words is "twenty-one billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 151 160 224 256 280 302 320 448 560 604 640 755 896 1057 1120 1208 1280 1510 1792 2114 2240 2416 3020 4228 4480 4832 5285 6040 8456 8960 9664 10570 12080 15767 16912 19328 21140 24160 31534 33824 38656 42280 48320 63068 67648 78835 84560 96640 110369 126136 135296 157670 169120 193280 220738 252272 270592 315340 338240 441476 504544 551845 630680 676480 882952 1009088 1103690 1261360 1352960 1765904 2018176 2207380 2380817 2522720 3531808 4036352 4414760 4761634 5045440 7063616 8829520 9523268 10090880 11904085 14127232 16665719 17659040 19046536 20181760 23808170 28254464 33331438 35318080 38093072 47616340 66662876 70636160 76186144 83328595 95232680 133325752 141272320 152372288 166657190 190465360 266651504 304744576 333314380 380930720 533303008 609489152 666628760 761861440 1066606016 1333257520 1523722880 2133212032 2666515040 3047445760 4266424064 5333030080 10666060160 21332120320