Search a number
-
+
112132210320 = 243251319630523
BaseRepresentation
bin110100001101110011…
…0011011111010010000
3101201102200112111001200
41220123212123322100
53314121321212240
6123302434231200
711046512030034
oct1503346337220
9351380474050
10112132210320
11436117892a9
1219894a25500
13a760184b10
1455da4561c4
152db43c3930
hex1a1b99be90

112132210320 has 240 divisors, whose sum is σ = 426889968960. Its totient is φ = 26149008384.

The previous prime is 112132210297. The next prime is 112132210349. The reversal of 112132210320 is 23012231211.

112132210320 is a `hidden beast` number, since 1 + 1 + 2 + 132 + 210 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 112132210293 and 112132210302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137422 + ... + 493101.

It is an arithmetic number, because the mean of its divisors is an integer number (1778708204).

Almost surely, 2112132210320 is an apocalyptic number.

112132210320 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 112132210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444984480).

112132210320 is an abundant number, since it is smaller than the sum of its proper divisors (314757758640).

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

112132210320 is a wasteful number, since it uses less digits than its factorization.

112132210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630574 (or 630565 counting only the distinct ones).

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

Adding to 112132210320 its reverse (23012231211), we get a palindrome (135144441531).

The spelling of 112132210320 in words is "one hundred twelve billion, one hundred thirty-two million, two hundred ten thousand, three hundred twenty".