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11001111100101 = 344792551111149
BaseRepresentation
bin1010000000010110010101…
…0100011011101011000101
31102221200210100101102010000
42200011211110123223011
52420220233420200401
635221501330151513
72213542534320243
oct240054524335305
942850710342100
1011001111100101
1135615aa465961
121298109a22599
1361a528690235
142a0656d63793
1514126ded4186
hexa016551bac5

11001111100101 has 40 divisors (see below), whose sum is σ = 16474670784000. Its totient is φ = 7315828048800.

The previous prime is 11001111100081. The next prime is 11001111100153. The reversal of 11001111100101 is 10100111110011.

It is not a de Polignac number, because 11001111100101 - 26 = 11001111100037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111100501) 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 39 ways as a sum of consecutive naturals, for example, 98920675 + ... + 99031823.

It is an arithmetic number, because the mean of its divisors is an integer number (411866769600).

Almost surely, 211001111100101 is an apocalyptic number.

It is an amenable number.

11001111100101 is a deficient number, since it is larger than the sum of its proper divisors (5473559683899).

11001111100101 is a wasteful number, since it uses less digits than its factorization.

11001111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114191 (or 114182 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001111100101 its reverse (10100111110011), we get a palindrome (21101222210112).

It can be divided in two parts, 1100111110010 and 1, that added together give a palindrome (1100111110011).

The spelling of 11001111100101 in words is "eleven trillion, one billion, one hundred eleven million, one hundred thousand, one hundred one".

Divisors: 1 3 9 27 81 479 1437 2551 4311 7653 12933 22959 38799 68877 111149 206631 333447 1000341 1221929 3001023 3665787 9003069 10997361 32992083 53240371 98976249 159721113 283541099 479163339 850623297 1437490017 2551869891 4312470051 7655609673 22966829019 135816186421 407448559263 1222345677789 3667037033367 11001111100101