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10443021113232 = 2432233907343163
BaseRepresentation
bin1001011111110111010010…
…0100000101011110010000
31100222100021002121121120100
42113331310210011132100
52332044301401110412
634113242505012400
72125324540565361
oct227756444053620
940870232547510
1010443021113232
113366951195554
121207b16784100
135a9a07713686
14281632bddb68
151319a8687edc
hex97f74905790

10443021113232 has 120 divisors (see below), whose sum is σ = 29383834787424. Its totient is φ = 3462235540992.

The previous prime is 10443021113197. The next prime is 10443021113233. The reversal of 10443021113232 is 23231112034401.

10443021113232 is a `hidden beast` number, since 1 + 0 + 4 + 430 + 211 + 13 + 2 + 3 + 2 = 666.

10443021113232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10443021113196 and 10443021113205.

It is not an unprimeable number, because it can be changed into a prime (10443021113233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30260083 + ... + 30603245.

Almost surely, 210443021113232 is an apocalyptic number.

10443021113232 is a gapful number since it is divisible by the number (12) 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 10443021113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691917393712).

10443021113232 is an abundant number, since it is smaller than the sum of its proper divisors (18940813674192).

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

10443021113232 is a wasteful number, since it uses less digits than its factorization.

10443021113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344317 (or 344308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10443021113232 its reverse (23231112034401), we get a palindrome (33674133147633).

The spelling of 10443021113232 in words is "ten trillion, four hundred forty-three billion, twenty-one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 907 932 1398 1814 1864 2097 2721 2796 3628 3728 4194 5442 5592 7256 8163 8388 10884 11184 14512 16326 16776 21768 32652 33552 43536 65304 130608 211331 343163 422662 633993 686326 845324 1029489 1267986 1372652 1690648 1901979 2058978 2535972 2745304 3088467 3381296 3803958 4117956 5071944 5490608 6176934 7607916 8235912 10143888 12353868 15215832 16471824 24707736 30431664 49415472 79956979 159913958 239870937 311248841 319827916 479741874 622497682 639655832 719612811 933746523 959483748 1244995364 1279311664 1439225622 1867493046 1918967496 2489990728 2801239569 2878451244 3734986092 3837934992 4979981456 5602479138 5756902488 7469972184 11204958276 11513804976 14939944368 22409916552 44819833104 72520979953 145041959906 217562939859 290083919812 435125879718 580167839624 652688819577 870251759436 1160335679248 1305377639154 1740503518872 2610755278308 3481007037744 5221510556616 10443021113232