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212414330000 = 245421241433
BaseRepresentation
bin1100010111010011100…
…0010111010010010000
3202022021112000222202102
43011310320113102100
511440011032030000
6241325400135532
721226553004635
oct3056470272220
9668245028672
10212414330000
11820a2396064
12352011675a8
1317052271982
14a3d0b5418c
1557d32893d5
hex3174e17490

212414330000 has 50 divisors (see below), whose sum is σ = 514276358574. Its totient is φ = 84965728000.

The previous prime is 212414329961. The next prime is 212414330003. The reversal of 212414330000 is 33414212.

It can be written as a sum of positive squares in 5 ways, for example, as 22848136336 + 189566193664 = 151156^2 + 435392^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212414330003) 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 9 ways as a sum of consecutive naturals, for example, 10610717 + ... + 10630716.

Almost surely, 2212414330000 is an apocalyptic number.

212414330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414330000 is an abundant number, since it is smaller than the sum of its proper divisors (301862028574).

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

212414330000 is an equidigital number, since it uses as much as digits as its factorization.

212414330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21241461 (or 21241440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212414330000 its reverse (33414212), we get a palindrome (212447744212).

The spelling of 212414330000 in words is "two hundred twelve billion, four hundred fourteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21241433 42482866 84965732 106207165 169931464 212414330 339862928 424828660 531035825 849657320 1062071650 1699314640 2124143300 2655179125 4248286600 5310358250 8496573200 10620716500 13275895625 21241433000 26551791250 42482866000 53103582500 106207165000 212414330000