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110002200011 = 11390912
BaseRepresentation
bin110011001110010100…
…1000101110111001011
3101111221020112202012222
41212130221011313023
53300241030400021
6122311224524255
710642646162324
oct1463451056713
9344836482188
10110002200011
1142719413000
121939b62068b
13a4b0aba3a2
1454775d744b
152cdc3ce6ab
hex199ca45dcb

110002200011 has 12 divisors (see below), whose sum is σ = 121007466072. Its totient is φ = 99990999900.

The previous prime is 110002199977. The next prime is 110002200023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

110002200011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-110002200011 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110002200911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12095576 + ... + 12104666.

It is an arithmetic number, because the mean of its divisors is an integer number (10083955506).

Almost surely, 2110002200011 is an apocalyptic number.

110002200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110002200011 is a deficient number, since it is larger than the sum of its proper divisors (11005266061).

110002200011 is an frugal number, since it uses more digits than its factorization.

110002200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18215 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 110002 and 200011, that multiplied together give a palindrome (22001610022).

The spelling of 110002200011 in words is "one hundred ten billion, two million, two hundred thousand, eleven".

Divisors: 1 11 121 1331 9091 100001 1100011 12100121 82646281 909109091 10000200001 110002200011