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21155455112 = 23112174332969
BaseRepresentation
bin10011101100111101…
…101010000010001000
32000121100201110200112
4103230331222002020
5321311244030422
613415122453452
71346152254461
oct235475520210
960540643615
1021155455112
118a76780600
124124b04288
131cc1ba399c
14104993bd68
1583c407ee2
hex4ecf6a088

21155455112 has 96 divisors (see below), whose sum is σ = 46287271800. Its totient is φ = 9026519040.

The previous prime is 21155455081. The next prime is 21155455157.

21155455112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9831515716 + 11323939396 = 99154^2 + 106414^2 .

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, 7123964 + ... + 7126932.

Almost surely, 221155455112 is an apocalyptic number.

21155455112 is a gapful number since it is divisible by the number (22) 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 21155455112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143635900).

21155455112 is an abundant number, since it is smaller than the sum of its proper divisors (25131816688).

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

21155455112 is a wasteful number, since it uses less digits than its factorization.

21155455112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3432 counting only the distinct ones).

The product of its digits is 10000, while the sum is 32.

The spelling of 21155455112 in words is "twenty-one billion, one hundred fifty-five million, four hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 433 484 748 866 968 1496 1732 2057 2969 3464 4114 4763 5938 7361 8228 9526 11876 14722 16456 19052 23752 29444 32659 38104 50473 52393 58888 65318 80971 100946 104786 130636 161942 201892 209572 261272 323884 359249 403784 419144 555203 647768 718498 890681 1110406 1285577 1436996 1781362 2220812 2571154 2873992 3562724 4441624 5142308 6107233 7125448 10284616 12214466 14141347 21854809 24428932 28282694 43709618 48857864 56565388 87419236 113130776 155554817 174838472 240402899 311109634 480805798 622219268 961611596 1244438536 1923223192 2644431889 5288863778 10577727556 21155455112