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112312148244480 = 211335715721431
BaseRepresentation
bin11001100010010110110101…
…101100110011100000000000
3112201122221021201101102101000
4121202112311230303200000
5104210110234422310410
61034511253313012000
732441166506362542
oct3142266554634000
9481587251342330
10112312148244480
1132871350792148
121071aa1b254000
134a88cb4431a72
141da3d190dd692
15ceb76b653dc0
hex6625b5b33800

112312148244480 has 384 divisors, whose sum is σ = 404857682611200. Its totient is φ = 29528071372800.

The previous prime is 112312148244451. The next prime is 112312148244497. The reversal of 112312148244480 is 84442841213211.

112312148244480 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 2 + 148 + 24 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1123121482444802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16769365 + ... + 22490795.

It is an arithmetic number, because the mean of its divisors is an integer number (1054316881800).

Almost surely, 2112312148244480 is an apocalyptic number.

112312148244480 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 112312148244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202428841305600).

112312148244480 is an abundant number, since it is smaller than the sum of its proper divisors (292545534366720).

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

112312148244480 is an equidigital number, since it uses as much as digits as its factorization.

112312148244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721538 (or 5721512 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

Adding to 112312148244480 its reverse (84442841213211), we get a palindrome (196754989457691).

The spelling of 112312148244480 in words is "one hundred twelve trillion, three hundred twelve billion, one hundred forty-eight million, two hundred forty-four thousand, four hundred eighty".