Search a number
-
+
112103414304 = 25372916335291
BaseRepresentation
bin110100001100111100…
…0100101101000100000
3101201100200100111100120
41220121320211220200
53314041433224204
6123255525120240
711046012204450
oct1503170455040
9351320314316
10112103414304
11435a7500442
1219887259080
13a757211b5b
1455d66bbd60
152db1ad66d9
hex1a19e25a20

112103414304 has 192 divisors, whose sum is σ = 350051466240. Its totient is φ = 30734484480.

The previous prime is 112103414303. The next prime is 112103414309. The reversal of 112103414304 is 403414301211.

It is a super-2 number, since 2×1121034143042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112103414303) 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, 3158899 + ... + 3194189.

It is an arithmetic number, because the mean of its divisors is an integer number (1823184720).

Almost surely, 2112103414304 is an apocalyptic number.

112103414304 is a gapful number since it is divisible by the number (14) 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 112103414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175025733120).

112103414304 is an abundant number, since it is smaller than the sum of its proper divisors (237948051936).

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

112103414304 is a wasteful number, since it uses less digits than its factorization.

112103414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35503 (or 35495 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112103414304 its reverse (403414301211), we get a palindrome (515517715515).

The spelling of 112103414304 in words is "one hundred twelve billion, one hundred three million, four hundred fourteen thousand, three hundred four".