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110220110011 = 11171361433073
BaseRepresentation
bin110011010100110100…
…0010110100010111011
3101112111102120201112201
41212221220112202323
53301212322010021
6122345011251031
710651233322414
oct1465150264273
9345442521481
10110220110011
1142820419010
12194405a9a77
13a516ca570b
14549851c80b
152d015c5591
hex19a9a168bb

110220110011 has 16 divisors (see below), whose sum is σ = 127406906208. Its totient is φ = 94236467200.

The previous prime is 110220109997. The next prime is 110220110057. The reversal of 110220110011 is 110011022011.

It is not a de Polignac number, because 110220110011 - 213 = 110220101819 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110220110011.

It is not an unprimeable number, because it can be changed into a prime (110220110711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37971 + ... + 471043.

It is an arithmetic number, because the mean of its divisors is an integer number (7962931638).

Almost surely, 2110220110011 is an apocalyptic number.

110220110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110220110011 is a deficient number, since it is larger than the sum of its proper divisors (17186796197).

110220110011 is a wasteful number, since it uses less digits than its factorization.

110220110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434462.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110220110011 its reverse (110011022011), we get a palindrome (220231132022).

It can be divided in two parts, 1102201100 and 11, that multiplied together give a square (12124212100 = 1101102).

The spelling of 110220110011 in words is "one hundred ten billion, two hundred twenty million, one hundred ten thousand, eleven".

Divisors: 1 11 17 187 1361 14971 23137 254507 433073 4763803 7362241 80984651 589412353 6483535883 10020010001 110220110011