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113214325224 = 2337111319972557
BaseRepresentation
bin110100101110000011…
…0011000000111101000
3101211020002201121122110
41221130012120013220
53323330331401344
6124002051522320
711115361613010
oct1513406300750
9354202647573
10113214325224
1144017598240
1219b372b93a0
13a8a3412bb0
1456a005ac40
152e293c53b9
hex1a5c1981e8

113214325224 has 512 divisors, whose sum is σ = 404303155200. Its totient is φ = 25440583680.

The previous prime is 113214325223. The next prime is 113214325261. The reversal of 113214325224 is 422523412311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113214325191 and 113214325200.

It is not an unprimeable number, because it can be changed into a prime (113214325223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44274954 + ... + 44277510.

It is an arithmetic number, because the mean of its divisors is an integer number (789654600).

Almost surely, 2113214325224 is an apocalyptic number.

113214325224 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 113214325224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202151577600).

113214325224 is an abundant number, since it is smaller than the sum of its proper divisors (291088829976).

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

113214325224 is a wasteful number, since it uses less digits than its factorization.

113214325224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 113214325224 its reverse (422523412311), we get a palindrome (535737737535).

The spelling of 113214325224 in words is "one hundred thirteen billion, two hundred fourteen million, three hundred twenty-five thousand, two hundred twenty-four".