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21120214124304 = 2433283172754009
BaseRepresentation
bin1001100110101011011101…
…10111000100011100010000
32202210001222000222011222000
410303111232313010130100
510232013144303434204
6112530254210314000
74306612410665301
oct463255667043420
982701860864860
1021120214124304
11680303a2a7889
1224512a4b88900
13ba2820c27ab9
1453031c2287a8
152695ba29c039
hex13356edc4710

21120214124304 has 80 divisors (see below), whose sum is σ = 60837052161600. Its totient is φ = 7015194756864.

The previous prime is 21120214124279. The next prime is 21120214124323. The reversal of 21120214124304 is 40342141202112.

21120214124304 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 214 + 12 + 430 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86254749 + ... + 86499260.

It is an arithmetic number, because the mean of its divisors is an integer number (760463152020).

Almost surely, 221120214124304 is an apocalyptic number.

21120214124304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21120214124304 is an abundant number, since it is smaller than the sum of its proper divisors (39716838037296).

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

21120214124304 is a wasteful number, since it uses less digits than its factorization.

21120214124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172754309 (or 172754297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21120214124304 its reverse (40342141202112), we get a palindrome (61462355326416).

The spelling of 21120214124304 in words is "twenty-one trillion, one hundred twenty billion, two hundred fourteen million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 283 432 566 849 1132 1698 2264 2547 3396 4528 5094 6792 7641 10188 13584 15282 20376 30564 40752 61128 122256 172754009 345508018 518262027 691016036 1036524054 1382032072 1554786081 2073048108 2764064144 3109572162 4146096216 4664358243 6219144324 8292192432 9328716486 12438288648 18657432972 24876577296 37314865944 48889384547 74629731888 97778769094 146668153641 195557538188 293336307282 391115076376 440004460923 586672614564 782230152752 880008921846 1173345229128 1320013382769 1760017843692 2346690458256 2640026765538 3520035687384 5280053531076 7040071374768 10560107062152 21120214124304