Search a number
-
+
11332230120 = 23325199317499
BaseRepresentation
bin10101000110111010…
…00001101111101000
31002020202120221021200
422203131001233220
5141202022330440
65112253004200
7550552236531
oct124335015750
932222527250
1011332230120
114895826242
122243183660
1310b79cb513
14797073688
15464d17c30
hex2a3741be8

11332230120 has 192 divisors, whose sum is σ = 37206000000. Its totient is φ = 2991250944.

The previous prime is 11332230089. The next prime is 11332230149. The reversal of 11332230120 is 2103223311.

11332230120 is a `hidden beast` number, since 11 + 332 + 2 + 301 + 20 = 666.

11332230120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11332230093 and 11332230102.

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 47 ways as a sum of consecutive naturals, for example, 22709631 + ... + 22710129.

It is an arithmetic number, because the mean of its divisors is an integer number (193781250).

Almost surely, 211332230120 is an apocalyptic number.

11332230120 is a gapful number since it is divisible by the number (10) 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 11332230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603000000).

11332230120 is an abundant number, since it is smaller than the sum of its proper divisors (25873769880).

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

11332230120 is a wasteful number, since it uses less digits than its factorization.

11332230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11332230120 its reverse (2103223311), we get a palindrome (13435453431).

The spelling of 11332230120 in words is "eleven billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twenty".