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21122000443344 = 24347211200322153
BaseRepresentation
bin1001100110101110110010…
…10101010101011111010000
32202210020120112020121000110
410303113121111111133100
510232030324103141334
6112531151341321320
74310004601312443
oct463273125253720
982706515217013
1021122000443344
116803876667809
122451703266240
13ba2a47037a08
1453044b57d65a
15269672001ae9
hex1335d95557d0

21122000443344 has 160 divisors (see below), whose sum is σ = 56020715587584. Its totient is φ = 6854473866240.

The previous prime is 21122000443331. The next prime is 21122000443363. The reversal of 21122000443344 is 44334400022112.

It is a super-2 number, since 2×211220004433442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953448972 + ... + 953471124.

Almost surely, 221122000443344 is an apocalyptic number.

21122000443344 is a gapful number since it is divisible by the number (24) 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 21122000443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28010357793792).

21122000443344 is an abundant number, since it is smaller than the sum of its proper divisors (34898715144240).

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

21122000443344 is a wasteful number, since it uses less digits than its factorization.

21122000443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24425 (or 24419 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 21122000443344 its reverse (44334400022112), we get a palindrome (65456400465456).

The spelling of 21122000443344 in words is "twenty-one trillion, one hundred twenty-two billion, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 211 282 376 422 564 633 752 844 1128 1266 1688 2003 2256 2532 3376 4006 5064 6009 8012 9917 10128 12018 16024 19834 22153 24036 29751 32048 39668 44306 48072 59502 66459 79336 88612 94141 96144 119004 132918 158672 177224 188282 238008 265836 282423 354448 376564 422633 476016 531672 564846 753128 845266 1041191 1063344 1129692 1267899 1506256 1690532 2082382 2259384 2535798 3123573 3381064 4164764 4518768 4674283 5071596 6247146 6762128 8329528 9348566 10143192 12494292 14022849 16659056 18697132 19863751 20286384 24988584 28045698 37394264 39727502 44372459 49977168 56091396 59591253 74788528 79455004 88744918 112182792 119182506 133117377 158910008 177489836 219691301 224365584 238365012 266234754 317820016 354979672 439382602 476730024 532469508 659073903 709959344 878765204 953460048 1064939016 1318147806 1757530408 2085505573 2129878032 2636295612 3515060816 4171011146 5272591224 6256516719 8342022292 9362588849 10545182448 12513033438 16684044584 18725177698 25026066876 28087766547 33368089168 37450355396 50052133752 56175533094 74900710792 100104267504 112351066188 149801421584 224702132376 440041675903 449404264752 880083351806 1320125027709 1760166703612 2640250055418 3520333407224 5280500110836 7040666814448 10561000221672 21122000443344