Search a number
-
+
1031300301301 is a prime number
BaseRepresentation
bin11110000000111100100…
…10011100000111110101
310122120222002110110220121
433000132102130013311
5113344100334120201
62105434532331541
7134336403631534
oct17003622340765
93576862413817
101031300301301
113684101525a6
12147a58473bb1
1376335b72a9a
1437cb545031b
151bc5e5de9a1
hexf01e49c1f5

1031300301301 has 2 divisors, whose sum is σ = 1031300301302. Its totient is φ = 1031300301300.

The previous prime is 1031300301281. The next prime is 1031300301331. The reversal of 1031300301301 is 1031030031301.

1031300301301 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., 991565859076 + 39734442225 = 995774^2 + 199335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031300301301 - 225 = 1031266746869 is a prime.

It is a super-2 number, since 2×10313003013012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031300301331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515650150650 + 515650150651.

It is an arithmetic number, because the mean of its divisors is an integer number (515650150651).

Almost surely, 21031300301301 is an apocalyptic number.

It is an amenable number.

1031300301301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031300301301 is an equidigital number, since it uses as much as digits as its factorization.

1031300301301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1031300301301 its reverse (1031030031301), we get a palindrome (2062330332602).

The spelling of 1031300301301 in words is "one trillion, thirty-one billion, three hundred million, three hundred one thousand, three hundred one".