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112830843840 = 263511133126513
BaseRepresentation
bin110100100010100111…
…1100000101111000000
3101210020101010202002020
41221011033200233000
53322034144000330
6123500032321440
711103024230331
oct1510517405700
9353211122066
10112830843840
1143940084a80
1219a4a9a3280
13a841b36230
145665156288
152e058c6210
hex1a453e0bc0

112830843840 has 448 divisors, whose sum is σ = 434459676672. Its totient is φ = 24433459200.

The previous prime is 112830843823. The next prime is 112830843847. The reversal of 112830843840 is 48348038211.

It is a junction number, because it is equal to n+sod(n) for n = 112830843792 and 112830843801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112830843847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4242424 + ... + 4268936.

It is an arithmetic number, because the mean of its divisors is an integer number (969776064).

Almost surely, 2112830843840 is an apocalyptic number.

112830843840 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 112830843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217229838336).

112830843840 is an abundant number, since it is smaller than the sum of its proper divisors (321628832832).

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

112830843840 is a wasteful number, since it uses less digits than its factorization.

112830843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26588 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 112830843840 in words is "one hundred twelve billion, eight hundred thirty million, eight hundred forty-three thousand, eight hundred forty".