Search a number
-
+
13011361168 = 2413317197293
BaseRepresentation
bin11000001111000100…
…11001110110010000
31020120210011122001111
430013202121312100
5203121402024133
65551034343104
7640301513401
oct140742316620
936523148044
1013011361168
115577635253
12263158aa94
1312c484bca0
148b60859a8
155124481cd
hex307899d90

13011361168 has 160 divisors (see below), whose sum is σ = 28810156032. Its totient is φ = 5651251200.

The previous prime is 13011361151. The next prime is 13011361217. The reversal of 13011361168 is 86116311031.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44407230 + ... + 44407522.

Almost surely, 213011361168 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 13011361168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405078016).

13011361168 is an abundant number, since it is smaller than the sum of its proper divisors (15798794864).

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

13011361168 is a wasteful number, since it uses less digits than its factorization.

13011361168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 13011361168 its reverse (86116311031), we get a palindrome (99127672199).

The spelling of 13011361168 in words is "thirteen billion, eleven million, three hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 71 97 104 124 142 194 208 248 284 293 388 403 496 568 586 776 806 923 1136 1172 1261 1552 1612 1846 2201 2344 2522 3007 3224 3692 3809 4402 4688 5044 6014 6448 6887 7384 7618 8804 9083 10088 12028 13774 14768 15236 17608 18166 20176 20803 24056 27548 28421 28613 30472 35216 36332 39091 41606 48112 55096 56842 57226 60944 72664 78182 83212 89531 110192 113684 114452 118079 145328 156364 166424 179062 213497 227368 228904 236158 270439 312728 332848 358124 369473 426994 454736 457808 472316 540878 625456 644893 716248 738946 853988 881051 944632 1081756 1289786 1432496 1477892 1707976 1762102 1889264 2017891 2163512 2579572 2775461 2955784 3415952 3524204 4035782 4327024 5159144 5550922 5911568 7048408 8071564 8383609 10318288 11101844 11453663 14096816 16143128 16767218 22203688 22907326 26232583 32286256 33534436 44407376 45814652 52465166 62554621 67068872 91629304 104930332 125109242 134137744 183258608 209860664 250218484 419721328 500436968 813210073 1000873936 1626420146 3252840292 6505680584 13011361168