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204242432300 = 2252191011064317
BaseRepresentation
bin1011111000110111001…
…1000011000100101100
3201112012000011120112122
42332031303003010230
511321242030313200
6233454440052112
720520214013204
oct2761563030454
9645160146478
10204242432300
117968958a3a5
1233700464038
131634c23384a
149c57701404
1554a5b36385
hex2f8dcc312c

204242432300 has 72 divisors (see below), whose sum is σ = 471152292240. Its totient is φ = 76630752000.

The previous prime is 204242432293. The next prime is 204242432327. The reversal of 204242432300 is 3234242402.

It is a happy number.

204242432300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204242432300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340259 + ... + 724058.

Almost surely, 2204242432300 is an apocalyptic number.

204242432300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242432300 is an abundant number, since it is smaller than the sum of its proper divisors (266909859940).

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

204242432300 is a wasteful number, since it uses less digits than its factorization.

204242432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064451 (or 1064444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 204242432300 its reverse (3234242402), we get a palindrome (207476674702).

The spelling of 204242432300 in words is "two hundred four billion, two hundred forty-two million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 950 1010 1900 1919 2020 2525 3838 5050 7676 9595 10100 19190 38380 47975 95950 191900 1064317 2128634 4257268 5321585 10643170 20222023 21286340 26607925 40444046 53215850 80888092 101110115 106431700 107496017 202220230 214992034 404440460 429984068 505550575 537480085 1011101150 1074960170 2022202300 2042424323 2149920340 2687400425 4084848646 5374800850 8169697292 10212121615 10749601700 20424243230 40848486460 51060608075 102121216150 204242432300