Search a number
-
+
110023343320011 = 311327554055427
BaseRepresentation
bin11001000001000011001110…
…010010111010101111001011
3112102120010110222010022012220
4121001003032102322233023
5103410110301342220021
61030000005352105123
732113632004462242
oct3101031622725713
9472503428108186
10110023343320011
1132069702002000
121040b3170951a3
134951206518154
141d2523027b959
15cabe5dc3bcc6
hex6410ce4babcb

110023343320011 has 16 divisors (see below), whose sum is σ = 161356548586368. Its totient is φ = 66680814130920.

The previous prime is 110023343320003. The next prime is 110023343320049.

110023343320011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110023343320011 - 23 = 110023343320003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110023343320091) 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, 13777023721 + ... + 13777031706.

It is an arithmetic number, because the mean of its divisors is an integer number (10084784286648).

Almost surely, 2110023343320011 is an apocalyptic number.

110023343320011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110023343320011 is a deficient number, since it is larger than the sum of its proper divisors (51333205266357).

110023343320011 is an equidigital number, since it uses as much as digits as its factorization.

110023343320011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554055463 (or 27554055441 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 110023343320011 in words is "one hundred ten trillion, twenty-three billion, three hundred forty-three million, three hundred twenty thousand, eleven".

Divisors: 1 3 11 33 121 363 1331 3993 27554055427 82662166281 303094609697 909283829091 3334040706667 10002122120001 36674447773337 110023343320011