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10313414417 is a prime number
BaseRepresentation
bin10011001101011101…
…00011011100010001
3222121202111201212202
421212232203130101
5132110213230132
64423220132545
7513401401415
oct114656433421
928552451782
1010313414417
114412720999
121bb9b37155
13c84903ca7
146dba28d45
1540566b762
hex266ba3711

10313414417 has 2 divisors, whose sum is σ = 10313414418. Its totient is φ = 10313414416.

The previous prime is 10313414407. The next prime is 10313414431. The reversal of 10313414417 is 71441431301.

10313414417 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., 6944888896 + 3368525521 = 83336^2 + 58039^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313414417 - 24 = 10313414401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10313414417.

It is not a weakly prime, because it can be changed into another prime (10313414407) 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, 5156707208 + 5156707209.

It is an arithmetic number, because the mean of its divisors is an integer number (5156707209).

Almost surely, 210313414417 is an apocalyptic number.

It is an amenable number.

10313414417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313414417 is an equidigital number, since it uses as much as digits as its factorization.

10313414417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 10313414417 its reverse (71441431301), we get a palindrome (81754845718).

The spelling of 10313414417 in words is "ten billion, three hundred thirteen million, four hundred fourteen thousand, four hundred seventeen".