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110220424314 = 2371113158311593
BaseRepresentation
bin110011010100110100…
…1100011010001111010
3101112111110011200200120
41212221221203101322
53301212412034224
6122345022114110
710651236101640
oct1465151432172
9345443150616
10110220424314
1142820613170
121944071b936
13a5170857b0
1454985a1190
152d01638779
hex19a9a6347a

110220424314 has 128 divisors (see below), whose sum is σ = 296189042688. Its totient is φ = 26407503360.

The previous prime is 110220424309. The next prime is 110220424331. The reversal of 110220424314 is 413424022011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9501702 + ... + 9513294.

It is an arithmetic number, because the mean of its divisors is an integer number (2313976896).

Almost surely, 2110220424314 is an apocalyptic number.

110220424314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110220424314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148094521344).

110220424314 is an abundant number, since it is smaller than the sum of its proper divisors (185968618374).

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

110220424314 is a wasteful number, since it uses less digits than its factorization.

110220424314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 110220424314 its reverse (413424022011), we get a palindrome (523644446325).

The spelling of 110220424314 in words is "one hundred ten billion, two hundred twenty million, four hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1583 2002 3003 3166 4749 6006 9498 11081 11593 17413 20579 22162 23186 33243 34779 34826 41158 52239 61737 66486 69558 81151 104478 121891 123474 127523 144053 150709 162302 226369 243453 243782 255046 288106 301418 365673 382569 432159 452127 452738 486906 679107 731346 765138 864318 892661 904254 1054963 1358214 1584583 1657799 1785322 2109926 2677983 3164889 3169166 3315598 4753749 4973397 5355966 6329778 9507498 9946794 11604593 18351719 23209186 34813779 36703438 55055157 69627558 110110314 128462033 201868909 238572347 256924066 385386099 403737818 477144694 605606727 715717041 770772198 1211213454 1413082363 1431434082 1670006429 2624295817 2826164726 3340012858 4239247089 5010019287 5248591634 7872887451 8478494178 10020038574 15745774902 18370070719 36740141438 55110212157 110220424314