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10441311317 is a prime number
BaseRepresentation
bin10011011100101100…
…11100010001010101
3222221200011120102222
421232112130101111
5132340433430232
64444025312125
7516513452603
oct115626342125
928850146388
1010441311317
114478936808
122034935645
13ca5264428
147109dc873
154119d1d12
hex26e59c455

10441311317 has 2 divisors, whose sum is σ = 10441311318. Its totient is φ = 10441311316.

The previous prime is 10441311313. The next prime is 10441311341. The reversal of 10441311317 is 71311314401.

10441311317 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 can be written as a sum of positive squares in only one way, i.e., 10233547921 + 207763396 = 101161^2 + 14414^2 .

It is a cyclic number.

It is not a de Polignac number, because 10441311317 - 22 = 10441311313 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10441311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5220655658 + 5220655659.

It is an arithmetic number, because the mean of its divisors is an integer number (5220655659).

Almost surely, 210441311317 is an apocalyptic number.

It is an amenable number.

10441311317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10441311317 is an equidigital number, since it uses as much as digits as its factorization.

10441311317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10441311317 its reverse (71311314401), we get a palindrome (81752625718).

The spelling of 10441311317 in words is "ten billion, four hundred forty-one million, three hundred eleven thousand, three hundred seventeen".