Search a number
-
+
110104311231 = 3319214628287
BaseRepresentation
bin110011010001010111…
…0100111010110111111
3101112012100200112111000
41212202232213112333
53300443200424411
6122325313301343
710645326126555
oct1464256472677
9345170615430
10110104311231
1142771016742
1219409864853
13a4c8cbcb25
145486db7bd5
152ce634e956
hex19a2ba75bf

110104311231 has 16 divisors (see below), whose sum is σ = 171702630400. Its totient is φ = 69539564664.

The previous prime is 110104311197. The next prime is 110104311259. The reversal of 110104311231 is 132113401011.

It is a happy number.

110104311231 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 431 + 1 + 231 = 666.

It is not a de Polignac number, because 110104311231 - 214 = 110104294847 is a prime.

It is a super-2 number, since 2×1101043112312 (a number of 23 digits) contains 22 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 (110104311131) 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 15 ways as a sum of consecutive naturals, for example, 107313631 + ... + 107314656.

It is an arithmetic number, because the mean of its divisors is an integer number (10731414400).

Almost surely, 2110104311231 is an apocalyptic number.

110104311231 is a deficient number, since it is larger than the sum of its proper divisors (61598319169).

110104311231 is a wasteful number, since it uses less digits than its factorization.

110104311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214628315 (or 214628309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110104311231 its reverse (132113401011), we get a palindrome (242217712242).

It can be divided in two parts, 11010 and 4311231, that added together give a square (4322241 = 20792).

The spelling of 110104311231 in words is "one hundred ten billion, one hundred four million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 214628287 643884861 1931654583 4077937453 5794963749 12233812359 36701437077 110104311231