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112360000000000 = 212510532
BaseRepresentation
bin11001100011000011011001…
…111000110001000000000000
3112201211111210120220110120111
4121203003121320301000000
5104211401240000000000
61034545245454121104
732444512354525054
oct3143033170610000
9481744716813514
10112360000000000
113288a676865335
12107281547b0194
134a9066c0c15bc
141da63783c5c64
15cecb1c601cba
hex6630d9e31000

112360000000000 has 429 divisors, whose sum is σ = 286265045406823. Its totient is φ = 44096000000000.

The previous prime is 112359999999983. The next prime is 112360000000021. The reversal of 112360000000000 is 63211.

The square root of 112360000000000 is 10600000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 16 ways, for example, as 24022859321344 + 88337140678656 = 4901312^2 + 9398784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112359999999899 and 112359999999908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2119999999974 + ... + 2120000000026.

Almost surely, 2112360000000000 is an apocalyptic number.

112360000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112360000000000 is the 10600000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112360000000000

112360000000000 is an abundant number, since it is smaller than the sum of its proper divisors (173905045406823).

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

112360000000000 is an frugal number, since it uses more digits than its factorization.

112360000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 112360000000000 its reverse (63211), we get a palindrome (112360000063211).

The spelling of 112360000000000 in words is "one hundred twelve trillion, three hundred sixty billion", and thus it is an aban number.