Search a number
-
+
3132122112 = 210327471033
BaseRepresentation
bin1011101010110000…
…0110010000000000
322002021122021210200
42322230012100000
522403310401422
61234444125200
7140421412230
oct27254062000
98067567720
103132122112
111368001779
12734b36800
133abb93bc2
14219d99cc0
15134e912ac
hexbab06400

3132122112 has 264 divisors, whose sum is σ = 10566057216. Its totient is φ = 875003904.

The previous prime is 3132122111. The next prime is 3132122153. The reversal of 3132122112 is 2112212313.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (3132122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031548 + ... + 3032580.

It is an arithmetic number, because the mean of its divisors is an integer number (40022944).

Almost surely, 23132122112 is an apocalyptic number.

3132122112 is a gapful number since it is divisible by the number (32) 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 3132122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283028608).

3132122112 is an abundant number, since it is smaller than the sum of its proper divisors (7433935104).

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

3132122112 is a wasteful number, since it uses less digits than its factorization.

3132122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1092 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3132122112 is about 55965.3652896146. The cubic root of 3132122112 is about 1463.1187027651.

Adding to 3132122112 its reverse (2112212313), we get a palindrome (5244334425).

The spelling of 3132122112 in words is "three billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".