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205514413441 is a prime number
BaseRepresentation
bin1011111101100110011…
…1010001010110000001
3201122110122121220122021
42333121213101112001
511331343142212231
6234224555041441
720563560456061
oct2773147212601
9648418556567
10205514413441
117a18158a687
12339b6440281
13164c290b4cc
149d3860b3a1
15552c63e811
hex2fd99d1581

205514413441 has 2 divisors, whose sum is σ = 205514413442. Its totient is φ = 205514413440.

The previous prime is 205514413439. The next prime is 205514413469. The reversal of 205514413441 is 144314415502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205372112400 + 142301041 = 453180^2 + 11929^2 .

It is a cyclic number.

It is not a de Polignac number, because 205514413441 - 21 = 205514413439 is a prime.

Together with 205514413439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 205514413397 and 205514413406.

It is not a weakly prime, because it can be changed into another prime (205514417441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102757206720 + 102757206721.

It is an arithmetic number, because the mean of its divisors is an integer number (102757206721).

Almost surely, 2205514413441 is an apocalyptic number.

It is an amenable number.

205514413441 is a deficient number, since it is larger than the sum of its proper divisors (1).

205514413441 is an equidigital number, since it uses as much as digits as its factorization.

205514413441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 205514413441 its reverse (144314415502), we get a palindrome (349828828943).

The spelling of 205514413441 in words is "two hundred five billion, five hundred fourteen million, four hundred thirteen thousand, four hundred forty-one".