Search a number
-
+
241313101319 is a prime number
BaseRepresentation
bin1110000010111101100…
…0011011011000000111
3212001212112011200101002
43200233120123120013
512423202123220234
6302505133123515
723301651342353
oct3405730333007
9761775150332
10241313101319
1193381a55744
123a92732959b
13199a9445a64
14b972c20463
15642538827e
hex382f61b607

241313101319 has 2 divisors, whose sum is σ = 241313101320. Its totient is φ = 241313101318.

The previous prime is 241313101297. The next prime is 241313101349. The reversal of 241313101319 is 913101313142.

It is a happy number.

241313101319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 241313101319 - 236 = 172593624583 is a prime.

It is a super-2 number, since 2×2413131013192 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241313101291 and 241313101300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241313101349) 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, 120656550659 + 120656550660.

It is an arithmetic number, because the mean of its divisors is an integer number (120656550660).

Almost surely, 2241313101319 is an apocalyptic number.

241313101319 is a deficient number, since it is larger than the sum of its proper divisors (1).

241313101319 is an equidigital number, since it uses as much as digits as its factorization.

241313101319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 241313101319 in words is "two hundred forty-one billion, three hundred thirteen million, one hundred one thousand, three hundred nineteen".