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112104332340 = 2235711133761827
BaseRepresentation
bin110100001100111110…
…0000101110000110100
3101201100202002010122220
41220121330011300310
53314042202113330
6123300000522340
711046023050110
oct1503174056064
9351322063586
10112104332340
11435a7a78150
12198876203b0
13a757473980
1455d687a740
152db1c18710
hex1a19f05c34

112104332340 has 768 divisors, whose sum is σ = 440467808256. Its totient is φ = 20553523200.

The previous prime is 112104332239. The next prime is 112104332363. The reversal of 112104332340 is 43233401211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112104332340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135555007 + ... + 135555833.

It is an arithmetic number, because the mean of its divisors is an integer number (573525792).

Almost surely, 2112104332340 is an apocalyptic number.

112104332340 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 112104332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220233904128).

112104332340 is an abundant number, since it is smaller than the sum of its proper divisors (328363475916).

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

112104332340 is a wasteful number, since it uses less digits than its factorization.

112104332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112104332340 its reverse (43233401211), we get a palindrome (155337733551).

It can be divided in two parts, 112104 and 332340, that added together give a palindrome (444444).

The spelling of 112104332340 in words is "one hundred twelve billion, one hundred four million, three hundred thirty-two thousand, three hundred forty".