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21011222112 = 2534145711681
BaseRepresentation
bin10011100100010111…
…011100111001100000
32000020022022200012120
4103210113130321200
5321012333101422
613352531224240
71342451304216
oct234427347140
960208280176
1021011222112
118a02318181
1240a4748080
131c9b043a0a
141034714cb6
1582e91745c
hex4e45dce60

21011222112 has 96 divisors (see below), whose sum is σ = 56628167904. Its totient is φ = 6817382400.

The previous prime is 21011222101. The next prime is 21011222149. The reversal of 21011222112 is 21122211012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21011222091 and 21011222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792912 + ... + 1804592.

It is an arithmetic number, because the mean of its divisors is an integer number (589876749).

Almost surely, 221011222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314083952).

21011222112 is an abundant number, since it is smaller than the sum of its proper divisors (35616945792).

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

21011222112 is a wasteful number, since it uses less digits than its factorization.

21011222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21011222112 its reverse (21122211012), we get a palindrome (42133433124).

The spelling of 21011222112 in words is "twenty-one billion, eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 457 492 656 914 984 1312 1371 1828 1968 2742 3656 3936 5484 7312 10968 11681 14624 18737 21936 23362 35043 37474 43872 46724 56211 70086 74948 93448 112422 140172 149896 186896 224844 280344 299792 373792 449688 478921 560688 599584 899376 957842 1121376 1436763 1798752 1915684 2873526 3831368 5338217 5747052 7662736 10676434 11494104 15325472 16014651 21352868 22988208 32029302 42705736 45976416 64058604 85411472 128117208 170822944 218866897 256234416 437733794 512468832 656600691 875467588 1313201382 1750935176 2626402764 3501870352 5252805528 7003740704 10505611056 21011222112