Search a number
-
+
13531110318 = 2331122070877
BaseRepresentation
bin11001001101000010…
…00101101110101110
31021221000011121212000
430212201011232232
5210202431012233
610114402353130
7656212353135
oct144641055656
937830147760
1013531110318
115813a60500
12275765b7a6
13137842a26b
149250dc91c
15542db2d13
hex326845bae

13531110318 has 48 divisors (see below), whose sum is σ = 33051212880. Its totient is φ = 4100334480.

The previous prime is 13531110317. The next prime is 13531110323. The reversal of 13531110318 is 81301113531.

13531110318 is a `hidden beast` number, since 1 + 3 + 531 + 110 + 3 + 18 = 666.

13531110318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135311103182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13531110291 and 13531110300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531110317) 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 in 23 ways as a sum of consecutive naturals, for example, 1028905 + ... + 1041972.

It is an arithmetic number, because the mean of its divisors is an integer number (688566935).

Almost surely, 213531110318 is an apocalyptic number.

13531110318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13531110318 is an abundant number, since it is smaller than the sum of its proper divisors (19520102562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13531110318 is a wasteful number, since it uses less digits than its factorization.

13531110318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070910 (or 2070893 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 13531110318 its reverse (81301113531), we get a palindrome (94832223849).

The spelling of 13531110318 in words is "thirteen billion, five hundred thirty-one million, one hundred ten thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 2070877 4141754 6212631 12425262 18637893 22779647 37275786 45559294 55913679 68338941 111827358 136677882 205016823 250576117 410033646 501152234 615050469 751728351 1230100938 1503456702 2255185053 4510370106 6765555159 13531110318