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225142743041 is a prime number
BaseRepresentation
bin1101000110101110001…
…1011010000000000001
3210112010120210100221122
43101223203122000001
512142043020234131
6251232410202025
722160150511566
oct3215343320001
9715116710848
10225142743041
1187534233187
1237773a23315
13183002b3418
14ac7b3c486d
155cca940d7b
hex346b8da001

225142743041 has 2 divisors, whose sum is σ = 225142743042. Its totient is φ = 225142743040.

The previous prime is 225142743031. The next prime is 225142743043. The reversal of 225142743041 is 140347241522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152337212416 + 72805530625 = 390304^2 + 269825^2 .

It is a cyclic number.

It is not a de Polignac number, because 225142743041 - 234 = 207962873857 is a prime.

Together with 225142743043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 225142742992 and 225142743010.

It is not a weakly prime, because it can be changed into another prime (225142743043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112571371520 + 112571371521.

It is an arithmetic number, because the mean of its divisors is an integer number (112571371521).

Almost surely, 2225142743041 is an apocalyptic number.

It is an amenable number.

225142743041 is a deficient number, since it is larger than the sum of its proper divisors (1).

225142743041 is an equidigital number, since it uses as much as digits as its factorization.

225142743041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 225142743041 its reverse (140347241522), we get a palindrome (365489984563).

The spelling of 225142743041 in words is "two hundred twenty-five billion, one hundred forty-two million, seven hundred forty-three thousand, forty-one".