Search a number
-
+
11010111110712 = 23327105126597817
BaseRepresentation
bin1010000000110111110111…
…0000101111111000111000
31102222120000120111022200100
42200031331300233320320
52420342201421020322
635225550351435400
72214311550204240
oct240157560577070
942876016438610
1011010111110712
1135653a876405a
1212999bbb25b60
1361b3311452bc
142a0c6c37cb20
151415e91b3dac
hexa037dc2fe38

11010111110712 has 192 divisors, whose sum is σ = 34128534585600. Its totient is φ = 3141169113600.

The previous prime is 11010111110711. The next prime is 11010111110741. The reversal of 11010111110712 is 21701111101011.

It is a super-2 number, since 2×110101111107122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010111110711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408479028 + ... + 1408486844.

It is an arithmetic number, because the mean of its divisors is an integer number (177752784300).

Almost surely, 211010111110712 is an apocalyptic number.

11010111110712 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 11010111110712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064267292800).

11010111110712 is an abundant number, since it is smaller than the sum of its proper divisors (23118423474888).

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

11010111110712 is a wasteful number, since it uses less digits than its factorization.

11010111110712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11539 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 18.

Adding to 11010111110712 its reverse (21701111101011), we get a palindrome (32711222211723).

The spelling of 11010111110712 in words is "eleven trillion, ten billion, one hundred eleven million, one hundred ten thousand, seven hundred twelve".