Search a number
-
+
13223204124 = 22313299730133
BaseRepresentation
bin11000101000010101…
…00001010100011100
31021010112210100221220
430110022201110130
5204040120012444
610024043053340
7645453244344
oct142412412434
937115710856
1013223204124
115676176a79
122690511250
1313296c1950
148d626bd24
15525d41619
hex3142a151c

13223204124 has 96 divisors (see below), whose sum is σ = 34728832320. Its totient is φ = 3887751168.

The previous prime is 13223204119. The next prime is 13223204131. The reversal of 13223204124 is 42140232231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13223204094 and 13223204103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423762 + ... + 453894.

It is an arithmetic number, because the mean of its divisors is an integer number (361758670).

Almost surely, 213223204124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223204124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364416160).

13223204124 is an abundant number, since it is smaller than the sum of its proper divisors (21505628196).

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

13223204124 is a wasteful number, since it uses less digits than its factorization.

13223204124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30279 (or 30277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13223204124 its reverse (42140232231), we get a palindrome (55363436355).

The spelling of 13223204124 in words is "thirteen billion, two hundred twenty-three million, two hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 97 116 156 174 194 291 348 377 388 582 754 1131 1164 1261 1508 2262 2522 2813 3783 4524 5044 5626 7566 8439 11252 15132 16878 30133 33756 36569 60266 73138 90399 109707 120532 146276 180798 219414 361596 391729 438828 783458 873857 1175187 1566916 1747714 2350374 2621571 2922901 3495428 4700748 5243142 5845802 8768703 10486284 11360141 11691604 17537406 22720282 34080423 35074812 37997713 45440564 68160846 75995426 84764129 113993139 136321692 151990852 169528258 227986278 254292387 339056516 455972556 508584774 1017169548 1101933677 2203867354 3305801031 4407734708 6611602062 13223204124