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21002320224 = 25348102747
BaseRepresentation
bin10011100011110101…
…011111100101100000
32000012200120102010000
4103203311133211200
5321003043221344
613352012340000
71342312530204
oct234365374540
960180512100
1021002320224
1189a8298046
1240a1774600
131c99247c22
141033478b04
1582dc59a69
hex4e3d5f960

21002320224 has 60 divisors (see below), whose sum is σ = 61767248004. Its totient is φ = 7000772544.

The previous prime is 21002320153. The next prime is 21002320243. The reversal of 21002320224 is 42202320012.

21002320224 is a `hidden beast` number, since 210 + 0 + 232 + 0 + 224 = 666.

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 = 21002320197 and 21002320206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4048782 + ... + 4053965.

Almost surely, 221002320224 is an apocalyptic number.

21002320224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21002320224 is an abundant number, since it is smaller than the sum of its proper divisors (40764927780).

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

21002320224 is an equidigital number, since it uses as much as digits as its factorization.

21002320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102769 (or 8102752 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21002320224 its reverse (42202320012), we get a palindrome (63204640236).

The spelling of 21002320224 in words is "twenty-one billion, two million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8102747 16205494 24308241 32410988 48616482 64821976 72924723 97232964 129643952 145849446 194465928 218774169 259287904 291698892 388931856 437548338 583397784 656322507 777863712 875096676 1166795568 1312645014 1750193352 2333591136 2625290028 3500386704 5250580056 7000773408 10501160112 21002320224