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22123420110 = 23351110337211
BaseRepresentation
bin10100100110101010…
…001001100111001110
32010002211010012001000
4110212222021213032
5330302043420420
614055141401130
71412144653041
oct244652114716
963084105030
1022123420110
119423103a80
1243551091a6
1321175a583c
1410dc30ac58
158973ac690
hex526a899ce

22123420110 has 128 divisors (see below), whose sum is σ = 64430277120. Its totient is φ = 5357318400.

The previous prime is 22123420097. The next prime is 22123420129. The reversal of 22123420110 is 1102432122.

It is a happy number.

22123420110 is a `hidden beast` number, since 2 + 212 + 342 + 0 + 110 = 666.

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

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 3064405 + ... + 3071615.

It is an arithmetic number, because the mean of its divisors is an integer number (503361540).

Almost surely, 222123420110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123420110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32215138560).

22123420110 is an abundant number, since it is smaller than the sum of its proper divisors (42306857010).

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

22123420110 is a wasteful number, since it uses less digits than its factorization.

22123420110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22123420110 its reverse (1102432122), we get a palindrome (23225852232).

The spelling of 22123420110 in words is "twenty-two billion, one hundred twenty-three million, four hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1033 1485 2066 2970 3099 5165 6198 7211 9297 10330 11363 14422 15495 18594 21633 22726 27891 30990 34089 36055 43266 46485 55782 56815 64899 68178 72110 79321 92970 102267 108165 113630 129798 139455 158642 170445 194697 204534 216330 237963 278910 306801 324495 340890 389394 396605 475926 511335 613602 648990 713889 793210 973485 1022670 1189815 1427778 1534005 1946970 2141667 2379630 3068010 3569445 4283334 7138890 7448963 10708335 14897926 21416670 22346889 37244815 44693778 67040667 74489630 81938593 111734445 134081334 163877186 201122001 223468890 245815779 335203335 402244002 409692965 491631558 670406670 737447337 819385930 1005610005 1229078895 1474894674 2011220010 2212342011 2458157790 3687236685 4424684022 7374473370 11061710055 22123420110