Search a number
-
+
112313334400000 = 21055291398707
BaseRepresentation
bin11001100010010111111100…
…011001101000010000000000
3112201200001100101100100211221
4121202113330121220100000
5104210120202101300000
61034512011124244424
732441241061500106
oct3142277431502000
9481601311310757
10112313334400000
11328718aa2a2368
121071b0b0540714
134a891430b9836
141da3dcc867c76
15ceb7da85761a
hex6625fc668400

112313334400000 has 528 divisors, whose sum is σ = 292427217835200. Its totient is φ = 43059179520000.

The previous prime is 112313334399997. The next prime is 112313334400013. The reversal of 112313334400000 is 4433313211.

It is a super-2 number, since 2×1123133344000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12899195647 + ... + 12899204353.

Almost surely, 2112313334400000 is an apocalyptic number.

112313334400000 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 112313334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146213608917600).

112313334400000 is an abundant number, since it is smaller than the sum of its proper divisors (180113883435200).

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

112313334400000 is an frugal number, since it uses more digits than its factorization.

112313334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 112313334400000 its reverse (4433313211), we get a palindrome (112317767713211).

The spelling of 112313334400000 in words is "one hundred twelve trillion, three hundred thirteen billion, three hundred thirty-four million, four hundred thousand".