Search a number
-
+
110034049806 = 23323375634253
BaseRepresentation
bin110011001111010001…
…0100101101100001110
3101112000110110212221000
41212132202211230032
53300322204043211
6122314323321130
710643513664012
oct1463642455416
9345013425830
10110034049806
114273539724a
12193aa2201a6
13a4b758c315
14547b928542
152ce00c1656
hex199e8a5b0e

110034049806 has 128 divisors (see below), whose sum is σ = 262574576640. Its totient is φ = 34066479744.

The previous prime is 110034049781. The next prime is 110034049837. The reversal of 110034049806 is 608940430011.

It is a congruent number.

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, 25869976 + ... + 25874228.

It is an arithmetic number, because the mean of its divisors is an integer number (2051363880).

Almost surely, 2110034049806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110034049806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131287288320).

110034049806 is an abundant number, since it is smaller than the sum of its proper divisors (152540526834).

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

110034049806 is a wasteful number, since it uses less digits than its factorization.

110034049806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 110034049806 its reverse (608940430011), we get a palindrome (718974479817).

The spelling of 110034049806 in words is "one hundred ten billion, thirty-four million, forty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 333 414 563 621 666 851 999 1126 1242 1689 1702 1998 2553 3378 4253 5067 5106 7659 8506 10134 12759 12949 15201 15318 20831 22977 25518 25898 30402 38277 38847 41662 45954 62493 76554 77694 97819 114831 116541 124986 157361 187479 195638 229662 233082 293457 314722 349623 374958 472083 479113 562437 586914 699246 880371 944166 958226 1124874 1416249 1437339 1760742 2394439 2641113 2832498 2874678 3619303 4248747 4312017 4788878 5282226 7183317 7238606 8497494 8624034 10857909 12936051 14366634 21549951 21715818 25872102 32573727 43099902 55072097 64649853 65147454 88594243 97721181 110144194 129299706 165216291 177188486 195442362 265782729 330432582 495648873 531565458 797348187 991297746 1486946619 1594696374 2037667589 2392044561 2973893238 4075335178 4784089122 6113002767 12226005534 18339008301 36678016602 55017024903 110034049806