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112021330320 = 24335474212621
BaseRepresentation
bin110100001010011111…
…1011101100110010000
3101201010221220012022000
41220110333131212100
53313404430032240
6123243433514000
711043664411524
oct1502477354620
9351127805260
10112021330320
1143565136539
1219863872900
13a743202053
1455c9831d84
152da97c0430
hex1a14fdd990

112021330320 has 320 divisors, whose sum is σ = 395147566080. Its totient is φ = 29156198400.

The previous prime is 112021330319. The next prime is 112021330339. The reversal of 112021330320 is 23033120211.

112021330320 is a `hidden beast` number, since 1 + 12 + 0 + 2 + 1 + 330 + 320 = 666.

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 = 112021330293 and 112021330302.

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 63 ways as a sum of consecutive naturals, for example, 42738610 + ... + 42741230.

It is an arithmetic number, because the mean of its divisors is an integer number (1234836144).

Almost surely, 2112021330320 is an apocalyptic number.

112021330320 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 112021330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197573783040).

112021330320 is an abundant number, since it is smaller than the sum of its proper divisors (283126235760).

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

112021330320 is a wasteful number, since it uses less digits than its factorization.

112021330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3099 counting only the distinct ones).

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

Adding to 112021330320 its reverse (23033120211), we get a palindrome (135054450531).

The spelling of 112021330320 in words is "one hundred twelve billion, twenty-one million, three hundred thirty thousand, three hundred twenty".