Search a number
-
+
13326100524 = 223211833171279
BaseRepresentation
bin11000110100100110…
…00010100000101100
31021101201102001021200
430122103002200230
5204242440204044
610042200325500
7651142662012
oct143223024054
937351361250
1013326100524
115719266620
1226baa73890
131344b0a8a9
14905bb48b2
1552edb9369
hex31a4c282c

13326100524 has 144 divisors (see below), whose sum is σ = 37336965120. Its totient is φ = 3973864320.

The previous prime is 13326100519. The next prime is 13326100537. The reversal of 13326100524 is 42500162331.

13326100524 is a `hidden beast` number, since 1 + 3 + 32 + 6 + 100 + 524 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10418517 + ... + 10419795.

It is an arithmetic number, because the mean of its divisors is an integer number (259284480).

Almost surely, 213326100524 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 13326100524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668482560).

13326100524 is an abundant number, since it is smaller than the sum of its proper divisors (24010864596).

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

13326100524 is a wasteful number, since it uses less digits than its factorization.

13326100524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1695 counting only the distinct ones).

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

Adding to 13326100524 its reverse (42500162331), we get a palindrome (55826262855).

The spelling of 13326100524 in words is "thirteen billion, three hundred twenty-six million, one hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 317 332 396 498 634 747 913 951 996 1268 1279 1494 1826 1902 2558 2739 2853 2988 3487 3652 3804 3837 5116 5478 5706 6974 7674 8217 10461 10956 11412 11511 13948 14069 15348 16434 20922 23022 26311 28138 31383 32868 41844 42207 46044 52622 56276 62766 78933 84414 105244 106157 125532 126621 157866 168828 212314 236799 253242 289421 315732 318471 405443 424628 473598 506484 578842 636942 810886 868263 947196 955413 1157684 1167727 1216329 1273884 1621772 1736526 1910826 2335454 2432658 2604789 3473052 3503181 3648987 3821652 4459873 4670908 4865316 5209578 7006362 7297974 8919746 10419156 10509543 13379619 14012724 14595948 17839492 21019086 26759238 33651769 40138857 42038172 53518476 67303538 80277714 100955307 134607076 160555428 201910614 302865921 370169459 403821228 605731842 740338918 1110508377 1211463684 1480677836 2221016754 3331525131 4442033508 6663050262 13326100524