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113225424000 = 2735313421431
BaseRepresentation
bin110100101110011000…
…0101101110010000000
3101211020212121111022020
41221130300231302000
53323341202032000
6124003125441440
711115555136653
oct1513460556200
9354225544266
10113225424000
1144022888987
1219b3ab70280
13a8a57ca910
1456a170989a
152e2a368ba0
hex1a5cc2dc80

113225424000 has 512 divisors, whose sum is σ = 406114974720. Its totient is φ = 27740160000.

The previous prime is 113225423999. The next prime is 113225424041. The reversal of 113225424000 is 424522311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262703785 + ... + 262704215.

It is an arithmetic number, because the mean of its divisors is an integer number (793193310).

Almost surely, 2113225424000 is an apocalyptic number.

113225424000 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 113225424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203057487360).

113225424000 is an abundant number, since it is smaller than the sum of its proper divisors (292889550720).

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

113225424000 is a wasteful number, since it uses less digits than its factorization.

113225424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 113225424000 its reverse (424522311), we get a palindrome (113649946311).

The spelling of 113225424000 in words is "one hundred thirteen billion, two hundred twenty-five million, four hundred twenty-four thousand".