Search a number
-
+
13230121311 = 341176919309
BaseRepresentation
bin11000101001001001…
…11010000101011111
31021011000210210120000
430110210322011133
5204043402340221
610024451225343
7645566114151
oct142444720537
937130723500
1013230121311
11567a070a60
1226928a8253
13132ac74264
148d714cad1
1552675ae26
hex31493a15f

13230121311 has 40 divisors (see below), whose sum is σ = 21589352400. Its totient is φ = 8007413760.

The previous prime is 13230121297. The next prime is 13230121319. The reversal of 13230121311 is 11312103231.

13230121311 is a `hidden beast` number, since 1 + 3 + 230 + 121 + 311 = 666.

13230121311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13230121311 - 25 = 13230121279 is a prime.

It is a super-2 number, since 2×132301213112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230121319) 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 39 ways as a sum of consecutive naturals, for example, 675525 + ... + 694833.

It is an arithmetic number, because the mean of its divisors is an integer number (539733810).

Almost surely, 213230121311 is an apocalyptic number.

13230121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13230121311 is a deficient number, since it is larger than the sum of its proper divisors (8359231089).

13230121311 is a wasteful number, since it uses less digits than its factorization.

13230121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13230121311 its reverse (11312103231), we get a palindrome (24542224542).

The spelling of 13230121311 in words is "thirteen billion, two hundred thirty million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 81 99 297 769 891 2307 6921 8459 19309 20763 25377 57927 62289 76131 173781 212399 228393 521343 637197 685179 1564029 1911591 5734773 14848621 17204319 44545863 133637589 163334831 400912767 490004493 1202738301 1470013479 4410040437 13230121311