Search a number
-
+
11000000010 = 2352331253313
BaseRepresentation
bin10100011111010011…
…01010111000001010
31001101121102220020210
422033221222320022
5140012000000020
65015304101550
7536406312606
oct121751527012
931347386223
1011000000010
1147352388aa
12216ba648b6
131063c2765c
14764cb0506
15445a8e3e0
hex28fa6ae0a

11000000010 has 192 divisors, whose sum is σ = 29094868224. Its totient is φ = 2655544320.

The previous prime is 10999999999. The next prime is 11000000021. The reversal of 11000000010 is 1000000011.

11000000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10999999999) and next prime (11000000021).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10999999941 and 11000000004.

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 95 ways as a sum of consecutive naturals, for example, 35143614 + ... + 35143926.

It is an arithmetic number, because the mean of its divisors is an integer number (151535772).

Almost surely, 211000000010 is an apocalyptic number.

11000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547434112).

11000000010 is an abundant number, since it is smaller than the sum of its proper divisors (18094868214).

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

11000000010 is a wasteful number, since it uses less digits than its factorization.

11000000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 11000000010 its reverse (1000000011), we get a palindrome (12000000021).

Subtracting from 11000000010 its reverse (1000000011), we obtain a palindrome (9999999999).

The spelling of 11000000010 in words is "eleven billion, ten", and thus it is an aban number and an uban number.