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221063341503601 = 412137226472
BaseRepresentation
bin110010010000111001010001…
…111100010111010001110001
31001222201110010100201202200001
4302100321101330113101301
5212433400210411103401
62102055032550230001
764364204453105242
oct6220712174272161
91058643110652601
10221063341503601
116448a489195463
1220963681955301
13964725064c99c
143c8374687ccc9
151a8557143e601
hexc90e51f17471

221063341503601 has 27 divisors (see below), whose sum is σ = 228338890076577. Its totient is φ = 214016424773760.

The previous prime is 221063341503577. The next prime is 221063341503629. The reversal of 221063341503601 is 106305143360122.

The square root of 221063341503601 is 14868199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46458196800625 + 174605144702976 = 6816025^2 + 13213824^2 .

It is not a de Polignac number, because 221063341503601 - 235 = 221028981765233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221063341503401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 83514672460 + ... + 83514675106.

Almost surely, 2221063341503601 is an apocalyptic number.

221063341503601 is the 14868199-th square number.

221063341503601 is the 7434100-th centered octagonal number.

It is an amenable number.

221063341503601 is a deficient number, since it is larger than the sum of its proper divisors (7275548572976).

221063341503601 is an frugal number, since it uses more digits than its factorization.

221063341503601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 221063341503601 its reverse (106305143360122), we get a palindrome (327368484863723).

The spelling of 221063341503601 in words is "two hundred twenty-one trillion, sixty-three billion, three hundred forty-one million, five hundred three thousand, six hundred one".

Divisors: 1 41 137 1681 2647 5617 18769 108527 230297 362639 769529 4449607 7006609 14868199 31550689 49681543 287270969 609596159 959905433 2036943263 11778109729 39356122753 83514673783 131507044321 1613601032873 5391788817161 221063341503601