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225133132241 is a prime number
BaseRepresentation
bin1101000110101011111…
…0101111100111010001
3210112002220201002102002
43101222332233213101
512142033040212431
6251231424203345
722160003023013
oct3215276574721
9715086632362
10225133132241
1187529869476
1237770769555
13182cb2c9a64
14ac7a0021b3
155cc9b933cb
hex346afaf9d1

225133132241 has 2 divisors, whose sum is σ = 225133132242. Its totient is φ = 225133132240.

The previous prime is 225133132229. The next prime is 225133132243. The reversal of 225133132241 is 142231331522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123932161600 + 101200970641 = 352040^2 + 318121^2 .

It is a cyclic number.

It is not a de Polignac number, because 225133132241 - 210 = 225133131217 is a prime.

Together with 225133132243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225133132243) 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 as a sum of consecutive naturals, namely, 112566566120 + 112566566121.

It is an arithmetic number, because the mean of its divisors is an integer number (112566566121).

Almost surely, 2225133132241 is an apocalyptic number.

It is an amenable number.

225133132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

225133132241 is an equidigital number, since it uses as much as digits as its factorization.

225133132241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 29.

Adding to 225133132241 its reverse (142231331522), we get a palindrome (367364463763).

The spelling of 225133132241 in words is "two hundred twenty-five billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred forty-one".