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241315314331381 is a prime number
BaseRepresentation
bin110110110111100110011001…
…100101101110111011110101
31011122102112000011112011101121
4312313212121211232323311
5223112202230432101011
62213122420332423541
7101554312306621333
oct6667463145567365
91148375004464347
10241315314331381
116a988282954424
1223094636617bb1
13a485c23644b04
144383a1b532b53
151cd72723d5e71
hexdb799996eef5

241315314331381 has 2 divisors, whose sum is σ = 241315314331382. Its totient is φ = 241315314331380.

The previous prime is 241315314331373. The next prime is 241315314331409. The reversal of 241315314331381 is 183133413513142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158093757249156 + 83221557082225 = 12573534^2 + 9122585^2 .

It is a cyclic number.

It is not a de Polignac number, because 241315314331381 - 23 = 241315314331373 is a prime.

It is a super-2 number, since 2×2413153143313812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241315314331681) 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, 120657657165690 + 120657657165691.

It is an arithmetic number, because the mean of its divisors is an integer number (120657657165691).

Almost surely, 2241315314331381 is an apocalyptic number.

It is an amenable number.

241315314331381 is a deficient number, since it is larger than the sum of its proper divisors (1).

241315314331381 is an equidigital number, since it uses as much as digits as its factorization.

241315314331381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 43.

The spelling of 241315314331381 in words is "two hundred forty-one trillion, three hundred fifteen billion, three hundred fourteen million, three hundred thirty-one thousand, three hundred eighty-one".