Search a number
-
+
11000010110110 = 257312163520293
BaseRepresentation
bin1010000000010010001110…
…1100011111010010011110
31102221120221121200022202221
42200010203230133102132
52420211010042010420
635221200200135554
72213503335132010
oct240044354372236
942846847608687
1011000010110110
113561094a3487a
121297a611675ba
1361a3b1553a78
142a0590a481b0
15141207504caa
hexa0123b1f49e

11000010110110 has 48 divisors (see below), whose sum is σ = 23382093879648. Its totient is φ = 3649772917440.

The previous prime is 11000010110009. The next prime is 11000010110129. The reversal of 11000010110110 is 1101101000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11000010110093 and 11000010110102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81692877 + ... + 81827416.

It is an arithmetic number, because the mean of its divisors is an integer number (487126955826).

Almost surely, 211000010110110 is an apocalyptic number.

11000010110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000010110110 is an abundant number, since it is smaller than the sum of its proper divisors (12382083769538).

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

11000010110110 is a wasteful number, since it uses less digits than its factorization.

11000010110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163520369 (or 163520338 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000010110110 its reverse (1101101000011), we get a palindrome (12101111110121).

The spelling of 11000010110110 in words is "eleven trillion, ten million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 961 1085 1922 2170 4805 6727 9610 13454 33635 67270 163520293 327040586 817601465 1144642051 1635202930 2289284102 5069129083 5723210255 10138258166 11446420510 25345645415 35483903581 50691290830 70967807162 157143001573 177419517905 314286003146 354839035810 785715007865 1100001011011 1571430015730 2200002022022 5500005055055 11000010110110