Search a number
-
+
13301012304 = 2432731399103
BaseRepresentation
bin11000110001100110…
…10101011101010000
31021022222012102201100
430120303111131100
5204220024343204
610035502504400
7650416511346
oct143063253520
937288172640
1013301012304
115706090458
1226b2595100
13133c8654a8
14902723996
1552cab0a39
hex318cd5750

13301012304 has 120 divisors (see below), whose sum is σ = 38009928320. Its totient is φ = 4340998656.

The previous prime is 13301012299. The next prime is 13301012317. The reversal of 13301012304 is 40321010331.

13301012304 is a `hidden beast` number, since 1 + 330 + 101 + 230 + 4 = 666.

It is a super-2 number, since 2×133010123042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456617 + ... + 1465719.

Almost surely, 213301012304 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 13301012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004964160).

13301012304 is an abundant number, since it is smaller than the sum of its proper divisors (24708916016).

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

13301012304 is a wasteful number, since it uses less digits than its factorization.

13301012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9329 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13301012304 its reverse (40321010331), we get a palindrome (53622022635).

The spelling of 13301012304 in words is "thirteen billion, three hundred one million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 139 144 146 219 278 292 417 438 556 584 657 834 876 1112 1168 1251 1314 1668 1752 2224 2502 2628 3336 3504 5004 5256 6672 9103 10008 10147 10512 18206 20016 20294 27309 30441 36412 40588 54618 60882 72824 81176 81927 91323 109236 121764 145648 162352 163854 182646 218472 243528 327708 365292 436944 487056 655416 664519 730584 1265317 1310832 1329038 1461168 1993557 2530634 2658076 3795951 3987114 5061268 5316152 5980671 7591902 7974228 10122536 10632304 11387853 11961342 15183804 15948456 20245072 22775706 23922684 30367608 31896912 45551412 47845368 60735216 91102824 92368141 95690736 182205648 184736282 277104423 369472564 554208846 738945128 831313269 1108417692 1477890256 1662626538 2216835384 3325253076 4433670768 6650506152 13301012304