Search a number
-
+
11000101110110 = 257222449185939
BaseRepresentation
bin1010000000010010100100…
…0111101000000101011110
31102221121011221220121022022
42200010221013220011132
52420211201341010420
635221213210420142
72213505521461100
oct240045107500536
942847157817268
1011000101110110
113561131339492
121297a87731652
1361a3c7365c18
142a059cb75570
151412104ccc25
hexa01291e815e

11000101110110 has 24 divisors (see below), whose sum is σ = 23032864774440. Its totient is φ = 3771463237584.

The previous prime is 11000101110109. The next prime is 11000101110151. The reversal of 11000101110110 is 1101110100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11224592480 + ... + 11224593459.

It is an arithmetic number, because the mean of its divisors is an integer number (959702698935).

Almost surely, 211000101110110 is an apocalyptic number.

11000101110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000101110110 is an abundant number, since it is smaller than the sum of its proper divisors (12032763664330).

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

11000101110110 is a wasteful number, since it uses less digits than its factorization.

11000101110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449185960 (or 22449185953 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11000101110110 its reverse (1101110100011), we get a palindrome (12101211210121).

The spelling of 11000101110110 in words is "eleven trillion, one hundred one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 22449185939 44898371878 112245929695 157144301573 224491859390 314288603146 785721507865 1100010111011 1571443015730 2200020222022 5500050555055 11000101110110