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21204102024 = 2333722003411
BaseRepresentation
bin10011101111110111…
…001110101110001000
32000201202020222201000
4103233313032232020
5321411222231044
613424021255000
71350312615300
oct235767165610
960652228630
1021204102024
118aa1187766
124139264460
131ccbca7241
1410521a2600
15841816d69
hex4efdceb88

21204102024 has 96 divisors (see below), whose sum is σ = 68516690400. Its totient is φ = 6058311840.

The previous prime is 21204102019. The next prime is 21204102037. The reversal of 21204102024 is 42020140212.

21204102024 is a `hidden beast` number, since 212 + 0 + 410 + 20 + 24 = 666.

It is a super-2 number, since 2×212041020242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21204101988 and 21204102006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991122 + ... + 1012289.

It is an arithmetic number, because the mean of its divisors is an integer number (713715525).

Almost surely, 221204102024 is an apocalyptic number.

21204102024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21204102024 is an abundant number, since it is smaller than the sum of its proper divisors (47312588376).

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

21204102024 is a wasteful number, since it uses less digits than its factorization.

21204102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003440 (or 2003423 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21204102024 its reverse (42020140212), we get a palindrome (63224242236).

The spelling of 21204102024 in words is "twenty-one billion, two hundred four million, one hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 2003411 4006822 6010233 8013644 12020466 14023877 16027288 18030699 24040932 28047754 36061398 42071631 48081864 54092097 56095508 72122796 84143262 98167139 108184194 112191016 126214893 144245592 168286524 196334278 216368388 252429786 294501417 336573048 378644679 392668556 432736776 504859572 589002834 757289358 785337112 883504251 1009719144 1178005668 1514578716 1767008502 2356011336 2650512753 3029157432 3534017004 5301025506 7068034008 10602051012 21204102024