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5311310013 = 321935215869
BaseRepresentation
bin1001111001001010…
…00010100010111101
3111201011011111121200
410330211002202331
541334143410023
62235011450113
7245422250562
oct47445024275
914634144550
105311310013
112286106909
1210428b6939
136684b95b9
1438557a869
1521144b743
hex13c9428bd

5311310013 has 24 divisors (see below), whose sum is σ = 7727761080. Its totient is φ = 3515166720.

The previous prime is 5311309967. The next prime is 5311310047. The reversal of 5311310013 is 3100131135.

5311310013 is a `hidden beast` number, since 531 + 131 + 0 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40985604 + 5270324409 = 6402^2 + 72597^2 .

It is not a de Polignac number, because 5311310013 - 212 = 5311305917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5311310063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902043 + ... + 907911.

It is an arithmetic number, because the mean of its divisors is an integer number (321990045).

Almost surely, 25311310013 is an apocalyptic number.

It is an amenable number.

5311310013 is a deficient number, since it is larger than the sum of its proper divisors (2416451067).

5311310013 is a wasteful number, since it uses less digits than its factorization.

5311310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 5311310013 is about 72878.7349849049. The cubic root of 5311310013 is about 1744.7527188234.

Adding to 5311310013 its reverse (3100131135), we get a palindrome (8411441148).

The spelling of 5311310013 in words is "five billion, three hundred eleven million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 193 521 579 1563 1737 4689 5869 17607 52821 100553 301659 904977 1132717 3057749 3398151 9173247 10194453 27519741 590145557 1770436671 5311310013