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241253411142257 is a prime number
BaseRepresentation
bin110110110110101100101111…
…110111110011101001110001
31011122012121020000202022222022
4312312230233313303221301
5223110143441223023012
62213034142000321225
7101546661300322313
oct6666545767635161
91148177200668868
10241253411142257
116a963aa7143198
122308463b313215
13a480139808617
144380a27dc57b3
151cd584ca45472
hexdb6b2fdf3a71

241253411142257 has 2 divisors, whose sum is σ = 241253411142258. Its totient is φ = 241253411142256.

The previous prime is 241253411142167. The next prime is 241253411142301. The reversal of 241253411142257 is 752241114352142.

It is a happy number.

It is an a-pointer prime, because the next prime (241253411142301) can be obtained adding 241253411142257 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131068060662016 + 110185350480241 = 11448496^2 + 10496921^2 .

It is a cyclic number.

It is not a de Polignac number, because 241253411142257 - 230 = 241252337400433 is a prime.

It is not a weakly prime, because it can be changed into another prime (241253411148257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120626705571128 + 120626705571129.

It is an arithmetic number, because the mean of its divisors is an integer number (120626705571129).

Almost surely, 2241253411142257 is an apocalyptic number.

It is an amenable number.

241253411142257 is a deficient number, since it is larger than the sum of its proper divisors (1).

241253411142257 is an equidigital number, since it uses as much as digits as its factorization.

241253411142257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 537600, while the sum is 44.

Adding to 241253411142257 its reverse (752241114352142), we get a palindrome (993494525494399).

The spelling of 241253411142257 in words is "two hundred forty-one trillion, two hundred fifty-three billion, four hundred eleven million, one hundred forty-two thousand, two hundred fifty-seven".