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112304260656 = 243273743239293
BaseRepresentation
bin110100010010111011…
…0110000011000110000
3101201212200021112202100
41220211312300120300
53314444342320111
6123331502020400
711054001315360
oct1504566603060
9351780245670
10112304260656
114369a911265
1219922577700
13a789a04453
1456152409a0
152dc455b756
hex1a25db0630

112304260656 has 480 divisors, whose sum is σ = 380355655680. Its totient is φ = 30262450176.

The previous prime is 112304260637. The next prime is 112304260657. The reversal of 112304260656 is 656062403211.

112304260656 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 42 + 606 + 5 + 6 = 666.

112304260656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123042606562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112304260656.

It is not an unprimeable number, because it can be changed into a prime (112304260657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383290846 + ... + 383291138.

It is an arithmetic number, because the mean of its divisors is an integer number (792407616).

Almost surely, 2112304260656 is an apocalyptic number.

112304260656 is a gapful number since it is divisible by the number (16) 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 112304260656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190177827840).

112304260656 is an abundant number, since it is smaller than the sum of its proper divisors (268051395024).

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

112304260656 is a wasteful number, since it uses less digits than its factorization.

112304260656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 112304260656 its reverse (656062403211), we get a palindrome (768366663867).

The spelling of 112304260656 in words is "one hundred twelve billion, three hundred four million, two hundred sixty thousand, six hundred fifty-six".