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205443421300 = 225213374271173
BaseRepresentation
bin1011111101010101100…
…0011101010001110100
3201122021201001010201201
42333111120131101310
511331222003440200
6234213541302244
720562036160645
oct2772530352164
9648251033651
10205443421300
117a145501197
1233996704984
13164b0cb3220
149d2d00b6cc
1555262b9c6a
hex2fd561d474

205443421300 has 72 divisors (see below), whose sum is σ = 493081411256. Its totient is φ = 73805852160.

The previous prime is 205443421241. The next prime is 205443421319. The reversal of 205443421300 is 3124344502.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25562253924 + 179881167376 = 159882^2 + 424124^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2087487 + ... + 2183686.

Almost surely, 2205443421300 is an apocalyptic number.

205443421300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205443421300 is an abundant number, since it is smaller than the sum of its proper divisors (287637989956).

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

205443421300 is a wasteful number, since it uses less digits than its factorization.

205443421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271237 (or 4271230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 205443421300 its reverse (3124344502), we get a palindrome (208567765802).

The spelling of 205443421300 in words is "two hundred five billion, four hundred forty-three million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 650 740 925 962 1300 1850 1924 2405 3700 4810 9620 12025 24050 48100 4271173 8542346 17084692 21355865 42711730 55525249 85423460 106779325 111050498 158033401 213558650 222100996 277626245 316066802 427117300 555252490 632133604 790167005 1110504980 1388131225 1580334010 2054434213 2776262450 3160668020 3950835025 4108868426 5552524900 7901670050 8217736852 10272171065 15803340100 20544342130 41088684260 51360855325 102721710650 205443421300