Search a number
-
+
12303244800 = 2932527111973
BaseRepresentation
bin10110111010101010…
…01001111000000000
31011202102201121000100
423131111021320000
5200144112313200
65352501122400
7613612566240
oct133525117000
934672647010
1012303244800
115243951a10
1224743b9400
131210c2a512
14849dd7b20
154c01c0d00
hex2dd549e00

12303244800 has 1440 divisors, whose sum is σ = 58575179520. Its totient is φ = 2388787200.

The previous prime is 12303244783. The next prime is 12303244817. The reversal of 12303244800 is 844230321.

It is an interprime number because it is at equal distance from previous prime (12303244783) and next prime (12303244817).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168537564 + ... + 168537636.

It is an arithmetic number, because the mean of its divisors is an integer number (40677208).

Almost surely, 212303244800 is an apocalyptic number.

12303244800 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 12303244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29287589760).

12303244800 is an abundant number, since it is smaller than the sum of its proper divisors (46271934720).

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

12303244800 is a wasteful number, since it uses less digits than its factorization.

12303244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12303244800 in words is "twelve billion, three hundred three million, two hundred forty-four thousand, eight hundred".