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221317307213 = 192896888397
BaseRepresentation
bin1100111000011110001…
…0100001101101001101
3210011020222120002112012
43032013202201231031
512111224212312323
6245401033551005
721663310033502
oct3160742415515
9704228502465
10221317307213
1185950939672
1236a86875465
1317b408b1622
14a9d73114a9
155b54b9d678
hex33878a1b4d

221317307213 has 12 divisors (see below), whose sum is σ = 236203167420. Its totient is φ = 207313166016.

The previous prime is 221317307173. The next prime is 221317307231. The reversal of 221317307213 is 312703713122.

221317307213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31310240809 + 190007066404 = 176947^2 + 435898^2 .

It is not a de Polignac number, because 221317307213 - 212 = 221317303117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221317307213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221317307273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3412070 + ... + 3476327.

It is an arithmetic number, because the mean of its divisors is an integer number (19683597285).

Almost surely, 2221317307213 is an apocalyptic number.

It is an amenable number.

221317307213 is a deficient number, since it is larger than the sum of its proper divisors (14885860207).

221317307213 is an equidigital number, since it uses as much as digits as its factorization.

221317307213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888524 (or 6888505 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 221317307213 in words is "two hundred twenty-one billion, three hundred seventeen million, three hundred seven thousand, two hundred thirteen".

Divisors: 1 19 89 361 1691 32129 6888397 130879543 613067333 2486711317 11648279327 221317307213