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12343210000 = 24541121012
BaseRepresentation
bin10110111111011011…
…00111000000010000
31011212012221000221221
423133231213000100
5200234330210000
65400445454424
7614606360662
oct133755470020
934765830857
1012343210000
115264469400
122485871414
1312192b1274
1485143c532
154c396761a
hex2dfb67010

12343210000 has 225 divisors, whose sum is σ = 33176309089. Its totient is φ = 4444000000.

The previous prime is 12343209929. The next prime is 12343210001. The reversal of 12343210000 is 1234321.

It is a happy number.

The square root of 12343210000 is 111100.

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

12343210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 2663798544 + 9679411456 = 51612^2 + 98384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12343210001) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 122209950 + ... + 122210050.

Almost surely, 212343210000 is an apocalyptic number.

12343210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12343210000 is the 111100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343210000

12343210000 is an abundant number, since it is smaller than the sum of its proper divisors (20833099089).

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

12343210000 is an equidigital number, since it uses as much as digits as its factorization.

12343210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Multiplying 12343210000 by its sum of digits (16), we get a square (197491360000 = 4444002).

12343210000 divided by its sum of digits (16) gives a square (771450625 = 277752).

Multiplying 12343210000 by its product of nonzero digits (144), we get a square (1777422240000 = 13332002).

Adding to 12343210000 its reverse (1234321), we get a palindrome (12344444321).

12343210000 divided by its reverse (1234321) gives a 4-th power (10000 = 104).

The spelling of 12343210000 in words is "twelve billion, three hundred forty-three million, two hundred ten thousand".