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21330012320 = 2552317932381
BaseRepresentation
bin10011110111010111…
…100010100010100000
32001001112011220011022
4103313113202202200
5322140440343240
613444320105012
71353402053561
oct236727424240
961045156138
1021330012320
119056265a61
124173465168
13201c0c0386
141064bba168
1584c8d89b5
hex4f75e28a0

21330012320 has 96 divisors (see below), whose sum is σ = 52878510720. Its totient is φ = 8115205120.

The previous prime is 21330012239. The next prime is 21330012367. The reversal of 21330012320 is 2321003312.

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 15 ways as a sum of consecutive naturals, for example, 642530 + ... + 674910.

It is an arithmetic number, because the mean of its divisors is an integer number (550817820).

Almost surely, 221330012320 is an apocalyptic number.

21330012320 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 21330012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26439255360).

21330012320 is an abundant number, since it is smaller than the sum of its proper divisors (31548498400).

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

21330012320 is a wasteful number, since it uses less digits than its factorization.

21330012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32598 (or 32590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21330012320 its reverse (2321003312), we get a palindrome (23651015632).

The spelling of 21330012320 in words is "twenty-one billion, three hundred thirty million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 179 184 230 358 368 460 716 736 895 920 1432 1790 1840 2864 3580 3680 4117 5728 7160 8234 14320 16468 20585 28640 32381 32936 41170 64762 65872 82340 129524 131744 161905 164680 259048 323810 329360 518096 647620 658720 744763 1036192 1295240 1489526 2590480 2979052 3723815 5180960 5796199 5958104 7447630 11592398 11916208 14895260 23184796 23832416 28980995 29790520 46369592 57961990 59581040 92739184 115923980 119162080 133312577 185478368 231847960 266625154 463695920 533250308 666562885 927391840 1066500616 1333125770 2133001232 2666251540 4266002464 5332503080 10665006160 21330012320