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2212324010000 = 24541317017877
BaseRepresentation
bin100000001100011000110…
…010010110100000010000
321211111101122221002222022
4200030120302112200100
5242221314421310000
64412154433231012
7315556310545256
oct40143062264020
97744348832868
102212324010000
11783272257115
122b891aa02468
1313080cba1550
14791116125d6
153c833375585
hex20318c96810

2212324010000 has 100 divisors (see below), whose sum is σ = 5768277819612. Its totient is φ = 816858048000.

The previous prime is 2212324009967. The next prime is 2212324010003. The reversal of 2212324010000 is 104232122.

It can be written as a sum of positive squares in 10 ways, for example, as 2149848007696 + 62476002304 = 1466236^2 + 249952^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2212324010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8378939 + ... + 8638938.

Almost surely, 22212324010000 is an apocalyptic number.

2212324010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212324010000 is an abundant number, since it is smaller than the sum of its proper divisors (3555953809612).

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

2212324010000 is a wasteful number, since it uses less digits than its factorization.

2212324010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17017918 (or 17017897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2212324010000 its reverse (104232122), we get a palindrome (2212428242122).

The spelling of 2212324010000 in words is "two trillion, two hundred twelve billion, three hundred twenty-four million, ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 17017877 34035754 68071508 85089385 136143016 170178770 221232401 272286032 340357540 425446925 442464802 680715080 850893850 884929604 1106162005 1361430160 1701787700 1769859208 2127234625 2212324010 3403575400 3539718416 4254469250 4424648020 5530810025 6807150800 8508938500 8849296040 10636173125 11061620050 17017877000 17698592080 21272346250 22123240100 27654050125 34035754000 42544692500 44246480200 55308100250 85089385000 88492960400 110616200500 138270250625 170178770000 221232401000 276540501250 442464802000 553081002500 1106162005000 2212324010000