Search a number
-
+
11100100110012 = 22323719334311127
BaseRepresentation
bin1010000110000111000110…
…0001100010011010111100
31110022011022001200010200100
42201201301201202122330
52423331001112010022
635335152100201100
72223645554112624
oct241416141423274
943264261603610
1011100100110012
11359a587151161
1212b3335099190
136269728b5394
142a5367a15884
15143b145bb1ac
hexa18718626bc

11100100110012 has 72 divisors (see below), whose sum is σ = 28831841126816. Its totient is φ = 3598169226624.

The previous prime is 11100100109951. The next prime is 11100100110013. The reversal of 11100100110012 is 21001100100111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100100109976 and 11100100110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100110013) 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 23 ways as a sum of consecutive naturals, for example, 419193 + ... + 4730319.

Almost surely, 211100100110012 is an apocalyptic number.

11100100110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100100110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415920563408).

11100100110012 is an abundant number, since it is smaller than the sum of its proper divisors (17731741016804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100100110012 is a wasteful number, since it uses less digits than its factorization.

11100100110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313107 (or 4313102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100100110012 its reverse (21001100100111), we get a palindrome (32101200210123).

Subtracting 11100100110012 from its reverse (21001100100111), we obtain a palindrome (9900999990099).

The spelling of 11100100110012 in words is "eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1933 3866 5799 7732 11598 17397 23196 34794 69588 71521 143042 214563 286084 429126 643689 858252 1287378 2574756 4311127 8622254 12933381 17244508 25866762 38800143 51733524 77600286 155200572 159511699 319023398 478535097 638046796 957070194 1435605291 1914140388 2871210582 5742421164 8333408491 16666816982 25000225473 33333633964 50000450946 75000676419 100000901892 150001352838 300002705676 308336114167 616672228334 925008342501 1233344456668 1850016685002 2775025027503 3700033370004 5550050055006 11100100110012