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21336312420 = 223251273972351
BaseRepresentation
bin10011110111101111…
…100100101001100100
32001001222000222021100
4103313233210221210
5322144043444140
613445103120100
71353506443323
oct236757445144
961058028240
1021336312420
119059879355
1241755a3030
1320204b7b47
14106597a0ba
1584d230530
hex4f7be4a64

21336312420 has 144 divisors (see below), whose sum is σ = 65421877248. Its totient is φ = 5628268800.

The previous prime is 21336312401. The next prime is 21336312461. The reversal of 21336312420 is 2421363312.

21336312420 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 631 + 2 + 4 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9074245 + ... + 9076595.

It is an arithmetic number, because the mean of its divisors is an integer number (454318592).

Almost surely, 221336312420 is an apocalyptic number.

21336312420 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 21336312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32710938624).

21336312420 is an abundant number, since it is smaller than the sum of its proper divisors (44085564828).

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

21336312420 is a wasteful number, since it uses less digits than its factorization.

21336312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21336312420 its reverse (2421363312), we get a palindrome (23757675732).

The spelling of 21336312420 in words is "twenty-one billion, three hundred thirty-six million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 397 508 635 762 794 1143 1191 1270 1524 1588 1905 1985 2286 2351 2382 2540 3573 3810 3970 4572 4702 4764 5715 5955 7053 7146 7620 7940 9404 11430 11755 11910 14106 14292 17865 21159 22860 23510 23820 28212 35265 35730 42318 47020 50419 70530 71460 84636 100838 105795 141060 151257 201676 211590 252095 298577 302514 423180 453771 504190 597154 605028 756285 895731 907542 933347 1008380 1194308 1492885 1512570 1791462 1815084 1866694 2268855 2687193 2800041 2985770 3025140 3582924 3733388 4478655 4537710 4666735 5374386 5600082 5971540 8400123 8957310 9075420 9333470 10748772 11200164 13435965 14000205 16800246 17914620 18666940 26871930 28000410 33600492 42000615 53743860 56000820 84001230 118535069 168002460 237070138 355605207 474140276 592675345 711210414 1066815621 1185350690 1422420828 1778026035 2133631242 2370701380 3556052070 4267262484 5334078105 7112104140 10668156210 21336312420