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13200313344152 = 231133078394813
BaseRepresentation
bin1100000000010110111111…
…1111001110000010011000
31201201221022112101202010212
43000011233333032002120
53212233220204003102
644024050142430252
72531456033053244
oct300055777160230
951657275352125
1013200313344152
11422a24882a000
121592386292388
13749a26b9811c
14338c81991424
1517d5853a3c52
hexc016ffce098

13200313344152 has 128 divisors (see below), whose sum is σ = 27350698636800. Its totient is φ = 5972228634240.

The previous prime is 13200313344121. The next prime is 13200313344161. The reversal of 13200313344152 is 25144331300231.

It is a congruent number.

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, 2742634898 + ... + 2742639710.

It is an arithmetic number, because the mean of its divisors is an integer number (213677333100).

Almost surely, 213200313344152 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 13200313344152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675349318400).

13200313344152 is an abundant number, since it is smaller than the sum of its proper divisors (14150385292648).

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

13200313344152 is a wasteful number, since it uses less digits than its factorization.

13200313344152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 13200313344152 its reverse (25144331300231), we get a palindrome (38344644644383).

The spelling of 13200313344152 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, three hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 307 484 614 839 968 1228 1331 1678 2456 2662 3356 3377 4813 5324 6712 6754 9229 9626 10648 13508 18458 19252 27016 36916 37147 38504 52943 73832 74294 101519 105886 148588 203038 211772 257573 297176 406076 408617 423544 515146 582373 812152 817234 1030292 1116709 1164746 1477591 1634468 2060584 2233418 2329492 2833303 2955182 3268936 4038107 4466836 4658984 5666606 5910364 6406103 8076214 8933672 11333212 11820728 12812206 16152428 16253501 22666424 25624412 31166333 32304856 32507002 44419177 51248824 62332666 65014004 88838354 124665332 130028008 177676708 178788511 249330664 342829663 355353416 357577022 488610947 685659326 715154044 977221894 1239698849 1371318652 1430308088 1954443788 1966673621 2479397698 2742637304 3908887576 3933347242 4958795396 5374720417 7866694484 9917590792 10749440834 13636687339 15733388968 21498881668 27273374678 42997763336 54546749356 109093498712 150003560729 300007121458 600014242916 1200028485832 1650039168019 3300078336038 6600156672076 13200313344152