Search a number
-
+
11110100110110 = 2325125201985979
BaseRepresentation
bin1010000110101100010110…
…0100100000101100011110
31110100010002222102202221100
42201223011210200230132
52424011441112010420
635343524243013530
72224451431525101
oct241530544405436
943303088382840
1011110100110110
1135a3848966251
1212b526606a2a6
136278a75a28c1
142a5a35b78738
15143eec479190
hexa1ac5920b1e

11110100110110 has 48 divisors (see below), whose sum is σ = 28886520302640. Its totient is φ = 2962666694400.

The previous prime is 11110100110099. The next prime is 11110100110127. The reversal of 11110100110110 is 1101100101111.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11110100110092 and 11110100110101.

It is a congruent number.

It is an unprimeable number.

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, 10775101 + ... + 11761079.

It is an arithmetic number, because the mean of its divisors is an integer number (601802506305).

Almost surely, 211110100110110 is an apocalyptic number.

11110100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11110100110110 is an abundant number, since it is smaller than the sum of its proper divisors (17776420192530).

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

11110100110110 is a wasteful number, since it uses less digits than its factorization.

11110100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111193 (or 1111190 counting only the distinct ones).

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

Adding to 11110100110110 its reverse (1101100101111), we get a palindrome (12211200211221).

It can be divided in two parts, 111101001 and 10110, that added together give a palindrome (111111111).

The spelling of 11110100110110 in words is "eleven trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 125201 250402 375603 626005 751206 985979 1126809 1252010 1878015 1971958 2253618 2957937 3756030 4929895 5634045 5915874 8873811 9859790 11268090 14789685 17747622 29579370 44369055 88738110 123445556779 246891113558 370336670337 617227783895 740673340674 1111010011011 1234455567790 1851683351685 2222020022022 3703366703370 5555050055055 11110100110110