Search a number
-
+
11305241550 = 23352127233283
BaseRepresentation
bin10101000011101100…
…00100101111001110
31002011212210202221000
422201312010233032
5141123120212200
65105450321130
7550103652621
oct124166045716
932155722830
1011305241550
114881572339
1222361291a6
1310b223c155
14793649db8
15462786300
hex2a1d84bce

11305241550 has 192 divisors, whose sum is σ = 31643688960. Its totient is φ = 2967632640.

The previous prime is 11305241539. The next prime is 11305241551. The reversal of 11305241550 is 5514250311.

11305241550 is a `hidden beast` number, since 1 + 130 + 524 + 1 + 5 + 5 + 0 = 666.

11305241550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305241551) by changing a digit.

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, 39947709 + ... + 39947991.

It is an arithmetic number, because the mean of its divisors is an integer number (164810880).

Almost surely, 211305241550 is an apocalyptic number.

11305241550 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 11305241550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821844480).

11305241550 is an abundant number, since it is smaller than the sum of its proper divisors (20338447410).

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

11305241550 is a wasteful number, since it uses less digits than its factorization.

11305241550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11305241550 its reverse (5514250311), we get a palindrome (16819491861).

The spelling of 11305241550 in words is "eleven billion, three hundred five million, two hundred forty-one thousand, five hundred fifty".