Search a number
-
+
110021032478814 = 232943641178912823
BaseRepresentation
bin11001000001000001000100…
…100011110000100001011110
3112102112220111220212102000220
4121001001010203300201132
5103410041033303310224
61025554544202502210
732113520514606012
oct3101010443604136
9472486456772026
10110021032478814
1132068726656896
121040a991204966
134950c288485b2
141d250913ca542
15cabd75e28279
hex6410448f085e

110021032478814 has 128 divisors (see below), whose sum is σ = 233435415628800. Its totient is φ = 34509651886080.

The previous prime is 110021032478813. The next prime is 110021032478873. The reversal of 110021032478814 is 418874230120011.

It is a happy number.

It is a super-2 number, since 2×1100210324788142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021032478813) by changing a digit.

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, 8579969607 + ... + 8579982429.

It is an arithmetic number, because the mean of its divisors is an integer number (1823714184600).

Almost surely, 2110021032478814 is an apocalyptic number.

110021032478814 is an abundant number, since it is smaller than the sum of its proper divisors (123414383149986).

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

110021032478814 is a wasteful number, since it uses less digits than its factorization.

110021032478814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330.

The product of its (nonzero) digits is 86016, while the sum is 42.

Adding to 110021032478814 its reverse (418874230120011), we get a palindrome (528895262598825).

The spelling of 110021032478814 in words is "one hundred ten trillion, twenty-one billion, thirty-two million, four hundred seventy-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 29 43 58 86 87 129 174 258 641 1247 1282 1789 1923 2494 3578 3741 3846 5367 7482 10734 12823 18589 25646 27563 37178 38469 51881 55126 55767 76927 76938 82689 103762 111534 153854 155643 165378 230781 311286 371867 461562 551389 743734 799327 1102778 1115601 1146749 1598654 1654167 2230883 2231202 2293498 2397981 3308334 3440247 4461766 4795962 6692649 6880494 8219543 13385298 15990281 16439086 22940347 24658629 31980562 33255721 45880694 47970843 49310207 49317258 66511442 68821041 95941686 98620414 99767163 137642082 147930621 199534326 238366747 295861242 353440349 476733494 665270063 706880698 715100241 986434921 1060321047 1330540126 1429996003 1430200482 1972869842 1995810189 2120642094 2859992006 2959304763 3991620378 4289988009 5918609526 8579976018 10249770121 14704762427 20499540242 28606612709 29409524854 30749310363 44114287281 57213225418 61498620726 85819838127 88228574562 171639676254 426438110383 632304784361 852876220766 1264609568722 1279314331149 1896914353083 2558628662298 3793828706166 18336838746469 36673677492938 55010516239407 110021032478814