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225311104261 is a prime number
BaseRepresentation
bin1101000111010110010…
…1101001110100000101
3210112120022121000010101
43101311211221310011
512142414120314021
6251301222524101
722164263533615
oct3216545516405
9715508530111
10225311104261
1187610276491
1237800296631
1318329140849
14ac958cca45
155cda5eaa91
hex3475969d05

225311104261 has 2 divisors, whose sum is σ = 225311104262. Its totient is φ = 225311104260.

The previous prime is 225311104253. The next prime is 225311104339. The reversal of 225311104261 is 162401113522.

225311104261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195302124900 + 30008979361 = 441930^2 + 173231^2 .

It is a cyclic number.

It is not a de Polignac number, because 225311104261 - 23 = 225311104253 is a prime.

It is a super-2 number, since 2×2253111042612 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225311104561) 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 as a sum of consecutive naturals, namely, 112655552130 + 112655552131.

It is an arithmetic number, because the mean of its divisors is an integer number (112655552131).

Almost surely, 2225311104261 is an apocalyptic number.

It is an amenable number.

225311104261 is a deficient number, since it is larger than the sum of its proper divisors (1).

225311104261 is an equidigital number, since it uses as much as digits as its factorization.

225311104261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 225311104261 its reverse (162401113522), we get a palindrome (387712217783).

The spelling of 225311104261 in words is "two hundred twenty-five billion, three hundred eleven million, one hundred four thousand, two hundred sixty-one".