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112000441410 = 2325111361179797
BaseRepresentation
bin110100001001110111…
…1110001110001000010
3101201002111120221002200
41220103233301301002
53313334103111120
6123241410054030
711043322021104
oct1502357616102
9351074527080
10112000441410
1143554369380
121985887a316
13a73ba9a150
1455c6b55574
152da7a45e90
hex1a13bf1c42

112000441410 has 384 divisors, whose sum is σ = 350100092160. Its totient is φ = 24483686400.

The previous prime is 112000441367. The next prime is 112000441429. The reversal of 112000441410 is 14144000211.

112000441410 is a `hidden beast` number, since 11 + 200 + 0 + 4 + 41 + 410 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140527132 + ... + 140527928.

It is an arithmetic number, because the mean of its divisors is an integer number (911718990).

Almost surely, 2112000441410 is an apocalyptic number.

112000441410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000441410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175050046080).

112000441410 is an abundant number, since it is smaller than the sum of its proper divisors (238099650750).

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

112000441410 is a wasteful number, since it uses less digits than its factorization.

112000441410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112000441410 its reverse (14144000211), we get a palindrome (126144441621).

The spelling of 112000441410 in words is "one hundred twelve billion, four hundred forty-one thousand, four hundred ten".