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241313101349 is a prime number
BaseRepresentation
bin1110000010111101100…
…0011011011000100101
3212001212112011200102012
43200233120123120211
512423202123220344
6302505133124005
723301651342425
oct3405730333045
9761775150365
10241313101349
1193381a55771
123a927329605
13199a9445a88
14b972c20485
15642538829e
hex382f61b625

241313101349 has 2 divisors, whose sum is σ = 241313101350. Its totient is φ = 241313101348.

The previous prime is 241313101319. The next prime is 241313101361. The reversal of 241313101349 is 943101313142.

241313101349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190920933025 + 50392168324 = 436945^2 + 224482^2 .

It is a cyclic number.

It is not a de Polignac number, because 241313101349 - 216 = 241313035813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241313101319) 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, 120656550674 + 120656550675.

It is an arithmetic number, because the mean of its divisors is an integer number (120656550675).

Almost surely, 2241313101349 is an apocalyptic number.

It is an amenable number.

241313101349 is a deficient number, since it is larger than the sum of its proper divisors (1).

241313101349 is an equidigital number, since it uses as much as digits as its factorization.

241313101349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 241313101349 in words is "two hundred forty-one billion, three hundred thirteen million, one hundred one thousand, three hundred forty-nine".