Search a number
-
+
112322320032 = 253131721532459
BaseRepresentation
bin110100010011011101…
…1101001011010100000
3101201220221021001120010
41220212323221122200
53320014003220112
6123333345044520
711054310652536
oct1504673513240
9351827231503
10112322320032
11436aa02656a
1219928626740
13a790688480
1456177c2156
152dc5e2763c
hex1a26ee96a0

112322320032 has 192 divisors, whose sum is σ = 336497535360. Its totient is φ = 32499400704.

The previous prime is 112322320009. The next prime is 112322320039. The reversal of 112322320032 is 230023223211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112322319990 and 112322320008.

It is not an unprimeable number, because it can be changed into a prime (112322320039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45676819 + ... + 45679277.

It is an arithmetic number, because the mean of its divisors is an integer number (1752591330).

Almost surely, 2112322320032 is an apocalyptic number.

112322320032 is a gapful number since it is divisible by the number (12) 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 112322320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168248767680).

112322320032 is an abundant number, since it is smaller than the sum of its proper divisors (224175215328).

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

112322320032 is a wasteful number, since it uses less digits than its factorization.

112322320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 112322320032 its reverse (230023223211), we get a palindrome (342345543243).

The spelling of 112322320032 in words is "one hundred twelve billion, three hundred twenty-two million, three hundred twenty thousand, thirty-two".