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100011211066 = 21322137138461
BaseRepresentation
bin101110100100100100…
…0011111100100111010
3100120010221201220221101
41131021020133210322
53114310332223231
6113540003202014
710140241160554
oct1351110374472
9316127656841
10100011211066
11394617a3148
121747167630a
13957ac36600
144baa73c4d4
152905201661
hex174921f93a

100011211066 has 24 divisors (see below), whose sum is σ = 162521434044. Its totient is φ = 46137087360.

The previous prime is 100011211049. The next prime is 100011211067. The reversal of 100011211066 is 660112110001.

100011211066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 76195441 + 99935015625 = 8729^2 + 316125^2 .

It is not an unprimeable number, because it can be changed into a prime (100011211067) 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 11 ways as a sum of consecutive naturals, for example, 653076 + ... + 791536.

Almost surely, 2100011211066 is an apocalyptic number.

100011211066 is a deficient number, since it is larger than the sum of its proper divisors (62510222978).

100011211066 is a wasteful number, since it uses less digits than its factorization.

100011211066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140626 (or 140613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100011211066 its reverse (660112110001), we get a palindrome (760123321067).

The spelling of 100011211066 in words is "one hundred billion, eleven million, two hundred eleven thousand, sixty-six".

Divisors: 1 2 13 26 169 338 2137 4274 27781 55562 138461 276922 361153 722306 1799993 3599986 23399909 46799818 295891157 591782314 3846585041 7693170082 50005605533 100011211066