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1311030012313 = 72171573865561
BaseRepresentation
bin10011000100111111011…
…110100110100110011001
311122022222221021010121201
4103010333132212212121
5132434442140343223
62442140123034201
7163501355143600
oct23047736464631
94568887233551
101311030012313
1146600629974a
1219210536b961
13968252cc548
144765042ca37
1524182441ead
hex1313f7a6999

1311030012313 has 12 divisors (see below), whose sum is σ = 1614786066612. Its totient is φ = 1057637656320.

The previous prime is 1311030012209. The next prime is 1311030012317. The reversal of 1311030012313 is 3132100301131.

It can be written as a sum of positive squares in 2 ways, for example, as 1084580610624 + 226449401689 = 1041432^2 + 475867^2 .

It is not a de Polignac number, because 1311030012313 - 237 = 1173591058841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311030012317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786931948 + ... + 786933613.

It is an arithmetic number, because the mean of its divisors is an integer number (134565505551).

Almost surely, 21311030012313 is an apocalyptic number.

It is an amenable number.

1311030012313 is a deficient number, since it is larger than the sum of its proper divisors (303756054299).

1311030012313 is a wasteful number, since it uses less digits than its factorization.

1311030012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573865592 (or 1573865585 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1311030012313 its reverse (3132100301131), we get a palindrome (4443130313444).

The spelling of 1311030012313 in words is "one trillion, three hundred eleven billion, thirty million, twelve thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 833 1573865561 11017058927 26755714537 77119412489 187290001759 1311030012313