Search a number
-
+
21220012220112 = 24321071377207439
BaseRepresentation
bin1001101001100101010110…
…10010100101111011010000
32210010121120010200201201200
410310302223102211323100
510240132041112020422
6113044201122031200
74320044453545656
oct464625322457320
983117503621650
1021220012220112
1168413a176a312
1224686b71a8500
13bac0669645b4
145350a852cdd6
1526beab9032ac
hex134cab4a5ed0

21220012220112 has 60 divisors (see below), whose sum is σ = 59941576618560. Its totient is φ = 7007231444544.

The previous prime is 21220012220111. The next prime is 21220012220123. The reversal of 21220012220112 is 21102221002212.

It is a happy number.

21220012220112 is a `hidden beast` number, since 212 + 200 + 122 + 20 + 112 = 666.

It is a super-3 number, since 3×212200122201123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220012220111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688588312 + ... + 688619127.

It is an arithmetic number, because the mean of its divisors is an integer number (999026276976).

Almost surely, 221220012220112 is an apocalyptic number.

It is an amenable number.

21220012220112 is an abundant number, since it is smaller than the sum of its proper divisors (38721564398448).

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

21220012220112 is a wasteful number, since it uses less digits than its factorization.

21220012220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377207560 (or 1377207551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220012220112 its reverse (21102221002212), we get a palindrome (42322233222324).

The spelling of 21220012220112 in words is "twenty-one trillion, two hundred twenty billion, twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 1377207439 2754414878 4131622317 5508829756 8263244634 11017659512 12394866951 16526489268 22035319024 24789733902 33052978536 49579467804 66105957072 99158935608 147361195973 198317871216 294722391946 442083587919 589444783892 884167175838 1178889567784 1326250763757 1768334351676 2357779135568 2652501527514 3536668703352 5305003055028 7073337406704 10610006110056 21220012220112