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241253302413313 is a prime number
BaseRepresentation
bin110110110110101100101001…
…011001000010100000000001
31011122012120221110011022220101
4312312230221121002200001
5223110143230404211223
62213034123114042401
7101546655510203311
oct6666545131024001
91148176843138811
10241253302413313
116a963a5082a563
122308460aa19401
13a480120129978
144380a177a1441
151cd58432194ad
hexdb6b29642801

241253302413313 has 2 divisors, whose sum is σ = 241253302413314. Its totient is φ = 241253302413312.

The previous prime is 241253302413251. The next prime is 241253302413353. The reversal of 241253302413313 is 313314203352142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238749841147024 + 2503461266289 = 15451532^2 + 1582233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241253302413313 is a prime.

It is not a weakly prime, because it can be changed into another prime (241253302413353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120626651206656 + 120626651206657.

It is an arithmetic number, because the mean of its divisors is an integer number (120626651206657).

Almost surely, 2241253302413313 is an apocalyptic number.

It is an amenable number.

241253302413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

241253302413313 is an equidigital number, since it uses as much as digits as its factorization.

241253302413313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 241253302413313 its reverse (313314203352142), we get a palindrome (554567505765455).

The spelling of 241253302413313 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred two million, four hundred thirteen thousand, three hundred thirteen".