Search a number
-
+
10313011001417 is a prime number
BaseRepresentation
bin1001011000010010111101…
…0110110111100001001001
31100111220200110122122010212
42112010233112313201021
52322432021304021132
633533422025050505
72113043012064455
oct226045726674111
940456613578125
1010313011001417
1133167a593a253
1211a6892626a35
1359a68870b427
1427921c261665
1512d3e99c85b2
hex9612f5b7849

10313011001417 has 2 divisors, whose sum is σ = 10313011001418. Its totient is φ = 10313011001416.

The previous prime is 10313011001399. The next prime is 10313011001497. The reversal of 10313011001417 is 71410011031301.

10313011001417 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., 8559070996921 + 1753940004496 = 2925589^2 + 1324364^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313011001417 - 216 = 10313010935881 is a prime.

It is a super-3 number, since 3×103130110014173 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10313011001392 and 10313011001401.

It is not a weakly prime, because it can be changed into another prime (10313011001497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156505500708 + 5156505500709.

It is an arithmetic number, because the mean of its divisors is an integer number (5156505500709).

Almost surely, 210313011001417 is an apocalyptic number.

It is an amenable number.

10313011001417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313011001417 is an equidigital number, since it uses as much as digits as its factorization.

10313011001417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 10313011001417 its reverse (71410011031301), we get a palindrome (81723022032718).

The spelling of 10313011001417 in words is "ten trillion, three hundred thirteen billion, eleven million, one thousand, four hundred seventeen".