Search a number
-
+
12230506431 = 32111335326921
BaseRepresentation
bin10110110001111111…
…01011011110111111
31011120100212002201200
423120333223132333
5200022002201211
65341342110543
7612040406103
oct133077533677
934510762650
1012230506431
115206890560
122453b7b453
1311cbb40470
148404a1903
154b8b03b56
hex2d8feb7bf

12230506431 has 48 divisors (see below), whose sum is σ = 20814367392. Its totient is φ = 6822604800.

The previous prime is 12230506411. The next prime is 12230506439. The reversal of 12230506431 is 13460503221.

12230506431 is a `hidden beast` number, since 1 + 223 + 0 + 5 + 0 + 6 + 431 = 666.

It is not a de Polignac number, because 12230506431 - 215 = 12230473663 is a prime.

It is a super-2 number, since 2×122305064312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12230506395 and 12230506404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230506439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440851 + ... + 467771.

It is an arithmetic number, because the mean of its divisors is an integer number (433632654).

Almost surely, 212230506431 is an apocalyptic number.

12230506431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12230506431 is a deficient number, since it is larger than the sum of its proper divisors (8583860961).

12230506431 is a wasteful number, since it uses less digits than its factorization.

12230506431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27304 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12230506431 in words is "twelve billion, two hundred thirty million, five hundred six thousand, four hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 353 429 1059 1287 3177 3883 4589 11649 13767 26921 34947 41301 50479 80763 151437 242289 296131 349973 454311 888393 1049919 2665179 3149757 3849703 9503113 11549109 28509339 34647327 85528017 104534243 123540469 313602729 370621407 940808187 1111864221 1358945159 4076835477 12230506431