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214234222031300 = 225210431172053789
BaseRepresentation
bin110000101101100001001010…
…101100111111000111000100
31001002112120222021122000100002
4300231201022230333013010
5211040003141320000200
62035345502023340432
763060624510261242
oct6055411254770704
91032476867560302
10214234222031300
1162297250297829
122004003b5b1718
13927027b517953
143ac8dc520b792
1519b7acca1cbd5
hexc2d84ab3f1c4

214234222031300 has 36 divisors (see below), whose sum is σ = 464888933836740. Its totient is φ = 85693564936320.

The previous prime is 214234222031293. The next prime is 214234222031393. The reversal of 214234222031300 is 3130222432412.

It can be written as a sum of positive squares in 6 ways, for example, as 1955791062016 + 212278430969284 = 1398496^2 + 14569778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103284806 + ... + 105338594.

It is an arithmetic number, because the mean of its divisors is an integer number (12913581495465).

Almost surely, 2214234222031300 is an apocalyptic number.

214234222031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214234222031300 is an abundant number, since it is smaller than the sum of its proper divisors (250654711805440).

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

214234222031300 is a wasteful number, since it uses less digits than its factorization.

214234222031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096920 (or 3096913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 214234222031300 its reverse (3130222432412), we get a palindrome (217364444463712).

The spelling of 214234222031300 in words is "two hundred fourteen trillion, two hundred thirty-four billion, two hundred twenty-two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1043117 2053789 2086234 4107578 4172468 5215585 8215156 10268945 10431170 20537890 20862340 26077925 41075780 51344725 52155850 102689450 104311700 205378900 2142342220313 4284684440626 8569368881252 10711711101565 21423422203130 42846844406260 53558555507825 107117111015650 214234222031300