Search a number
-
+
110024342311 = 13235310976329
BaseRepresentation
bin110011001110111110…
…1100011101100100111
3101111222210012200202011
41212131331203230213
53300312212423221
6122313335255051
710643335323202
oct1463575435447
9344883180664
10110024342311
114272a966924
12193a6b1a487
13a4b5570940
14547a51c939
152cde3051e1
hex199df63b27

110024342311 has 32 divisors (see below), whose sum is σ = 126106968960. Its totient is φ = 95210379264.

The previous prime is 110024342297. The next prime is 110024342353. The reversal of 110024342311 is 113243420011.

It is not a de Polignac number, because 110024342311 - 215 = 110024309543 is a prime.

It is a super-3 number, since 3×1100243423113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110024342111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17380995 + ... + 17387323.

It is an arithmetic number, because the mean of its divisors is an integer number (3940842780).

Almost surely, 2110024342311 is an apocalyptic number.

110024342311 is a deficient number, since it is larger than the sum of its proper divisors (16082626649).

110024342311 is a wasteful number, since it uses less digits than its factorization.

110024342311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 110024342311 its reverse (113243420011), we get a palindrome (223267762322).

The spelling of 110024342311 in words is "one hundred ten billion, twenty-four million, three hundred forty-two thousand, three hundred eleven".

Divisors: 1 13 23 53 299 689 1097 1219 6329 14261 15847 25231 58141 82277 145567 328003 335437 755833 1337243 1892371 4360681 6942913 7715051 17384159 90257869 100295663 159686999 367974389 2075930987 4783667057 8463410947 110024342311