Search a number
-
+
13211424324 = 2234729200867
BaseRepresentation
bin11000100110111011…
…00101011001000100
31021002201121220010000
430103131211121010
5204024111034244
610022542401300
7645251153040
oct142335453104
937081556100
1013211424324
11566a5606aa
122688590230
131327128c57
148d4883020
15524cb6169
hex313765644

13211424324 has 120 divisors (see below), whose sum is σ = 40832447040. Its totient is φ = 3644512704.

The previous prime is 13211424293. The next prime is 13211424341. The reversal of 13211424324 is 42342411231.

13211424324 is a `hidden beast` number, since 1 + 3 + 211 + 424 + 3 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34662 + ... + 166205.

It is an arithmetic number, because the mean of its divisors is an integer number (340270392).

Almost surely, 213211424324 is an apocalyptic number.

13211424324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416223520).

13211424324 is an abundant number, since it is smaller than the sum of its proper divisors (27621022716).

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

13211424324 is a wasteful number, since it uses less digits than its factorization.

13211424324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200919 (or 200908 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13211424324 its reverse (42342411231), we get a palindrome (55553835555).

The spelling of 13211424324 in words is "thirteen billion, two hundred eleven million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 10962 16443 21924 32886 65772 200867 401734 602601 803468 1205202 1406069 1807803 2410404 2812138 3615606 4218207 5423409 5624276 5825143 7231212 8436414 10846818 11650286 12654621 16270227 16872828 17475429 21693636 23300572 25309242 32540454 34950858 37963863 40776001 50618484 52426287 65080908 69901716 75927726 81552002 104852574 113891589 122328003 151855452 157278861 163104004 209705148 227783178 244656006 314557722 366984009 455566356 471836583 489312012 629115444 733968018 943673166 1100952027 1467936036 1887346332 2201904054 3302856081 4403808108 6605712162 13211424324