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12443143300 = 22527241241257
BaseRepresentation
bin10111001011010101…
…10100110010000100
31012010011222011200021
423211222310302010
5200440421041200
65414415424524
7620231654500
oct134552646204
935104864607
1012443143300
115305914805
1224b3225144
131233c005b3
14860813300
154cc60741a
hex2e5ab4c84

12443143300 has 216 divisors, whose sum is σ = 32435377128. Its totient is φ = 4128768000.

The previous prime is 12443143249. The next prime is 12443143331. The reversal of 12443143300 is 334134421.

It can be written as a sum of positive squares in 12 ways, for example, as 1497380416 + 10945762884 = 38696^2 + 104622^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48416772 + ... + 48417028.

It is an arithmetic number, because the mean of its divisors is an integer number (150163783).

Almost surely, 212443143300 is an apocalyptic number.

12443143300 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 12443143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217688564).

12443143300 is an abundant number, since it is smaller than the sum of its proper divisors (19992233828).

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

12443143300 is a wasteful number, since it uses less digits than its factorization.

12443143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12443143300 its reverse (334134421), we get a palindrome (12777277721).

The spelling of 12443143300 in words is "twelve billion, four hundred forty-three million, one hundred forty-three thousand, three hundred".