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204342441235300 = 22524357507792377
BaseRepresentation
bin101110011101100100101110…
…100111110101001101100100
3222210111221120001220221000101
4232131210232213311031210
5203240421304424012200
62002333342131353444
761020153120642214
oct5635445647651544
9883457501827011
10204342441235300
115a123162976495
121ab02b26152884
138a035429612a4
143866326988244
1518956386ae26a
hexb9d92e9f5364

204342441235300 has 72 divisors (see below), whose sum is σ = 443617031882024. Its totient is φ = 81701236362240.

The previous prime is 204342441235279. The next prime is 204342441235301. The reversal of 204342441235300 is 3532144243402.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19617157123876 + 184725284111424 = 4429126^2 + 13591368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204342441235300.

It is not an unprimeable number, because it can be changed into a prime (204342441235301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212002712 + ... + 2212095088.

Almost surely, 2204342441235300 is an apocalyptic number.

204342441235300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204342441235300 is an abundant number, since it is smaller than the sum of its proper divisors (239274590646724).

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

204342441235300 is a wasteful number, since it uses less digits than its factorization.

204342441235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101825 (or 101818 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 204342441235300 its reverse (3532144243402), we get a palindrome (207874585478702).

The spelling of 204342441235300 in words is "two hundred four trillion, three hundred forty-two billion, four hundred forty-one million, two hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4357 5077 8714 10154 17428 20308 21785 25385 43570 50770 87140 92377 101540 108925 126925 184754 217850 253850 369508 435700 461885 507700 923770 1847540 2309425 4618850 9237700 22120489 44240978 88481956 110602445 221204890 402486589 442409780 468998029 553012225 804973178 937996058 1106024450 1609946356 1875992116 2012432945 2212048900 2344990145 4024865890 4689980290 8049731780 9379960580 10062164725 11724950725 20124329450 23449901450 40248658900 46899802900 2043424412353 4086848824706 8173697649412 10217122061765 20434244123530 40868488247060 51085610308825 102171220617650 204342441235300