Search a number
-
+
110231304342003 = 321317229242010763
BaseRepresentation
bin11001000100000100111001…
…101111010000100111110011
3112110022000021010110210211200
4121010010321233100213303
5103422012202402421003
61030235321230342243
732134643324136015
oct3104047157204763
9473260233423750
10110231304342003
1132139919638919
121044369495a983
1349679c8c80b10
141d3131b79c1b5
15cb258105c6a3
hex644139bd09f3

110231304342003 has 48 divisors (see below), whose sum is σ = 182350270458720. Its totient is φ = 63565578703872.

The previous prime is 110231304341999. The next prime is 110231304342007. The reversal of 110231304342003 is 300243403132011.

It is a happy number.

110231304342003 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 313 + 0 + 4 + 342 + 0 + 0 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (110231304341999) and next prime (110231304342007).

It is not a de Polignac number, because 110231304342003 - 22 = 110231304341999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110231304342007) 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 47 ways as a sum of consecutive naturals, for example, 120549901 + ... + 121460862.

It is an arithmetic number, because the mean of its divisors is an integer number (3798963967890).

Almost surely, 2110231304342003 is an apocalyptic number.

110231304342003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

110231304342003 is a deficient number, since it is larger than the sum of its proper divisors (72118966116717).

110231304342003 is a wasteful number, since it uses less digits than its factorization.

110231304342003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242011028 (or 242011025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 110231304342003 its reverse (300243403132011), we get a palindrome (410474707474014).

The spelling of 110231304342003 in words is "one hundred ten trillion, two hundred thirty-one billion, three hundred four million, three hundred forty-two thousand, three".

Divisors: 1 3 9 13 17 39 51 117 153 221 229 663 687 1989 2061 2977 3893 8931 11679 26793 35037 50609 151827 455481 242010763 726032289 2178096867 3146139919 4114182971 9438419757 12342548913 28315259271 37027646739 53484378623 55420464727 160453135869 166261394181 481359407607 498784182543 720466041451 942147900359 2161398124353 2826443701077 6484194373059 8479331103231 12247922704667 36743768114001 110231304342003