Search a number
-
+
112323113320000 = 2654111715016459
BaseRepresentation
bin11001100010100001000011…
…010001001111111001000000
3112201200222120220002222020011
4121202201003101033321000
5104210300214002220000
61034520305332354304
732442035313110002
oct3142410321177100
9481628526088204
10112323113320000
1132875a68236730
1210720b7b475994
134a8a04104bb2b
141da46794bc372
15cebbae0e52ba
hex66284344fe40

112323113320000 has 280 divisors, whose sum is σ = 321718525492320. Its totient is φ = 38442132480000.

The previous prime is 112323113319997. The next prime is 112323113320001. The reversal of 112323113320000 is 23311323211.

It is a super-2 number, since 2×1123231133200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112323113320001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28230 + ... + 14988229.

Almost surely, 2112323113320000 is an apocalyptic number.

112323113320000 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 112323113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160859262746160).

112323113320000 is an abundant number, since it is smaller than the sum of its proper divisors (209395412172320).

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

112323113320000 is a wasteful number, since it uses less digits than its factorization.

112323113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016519 (or 15016494 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 112323113320000 its reverse (23311323211), we get a palindrome (112346424643211).

The spelling of 112323113320000 in words is "one hundred twelve trillion, three hundred twenty-three billion, one hundred thirteen million, three hundred twenty thousand".