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13201200514524 = 223114710169209249
BaseRepresentation
bin1100000000011010010011…
…0111100000010111011100
31201202000121100202200002210
43000012210313200113130
53212242024312431044
644024314153520420
72531520024635631
oct300064467402734
951660540680083
1013201200514524
11422a663599260
121592593413110
13749b3891bcc9
14338d2772c188
1517d5d81e91b9
hexc01a4de05dc

13201200514524 has 96 divisors (see below), whose sum is σ = 34321553280000. Its totient is φ = 3914845941760.

The previous prime is 13201200514379. The next prime is 13201200514531. The reversal of 13201200514524 is 42541500210231.

It is a junction number, because it is equal to n+sod(n) for n = 13201200514491 and 13201200514500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62983852 + ... + 63193100.

It is an arithmetic number, because the mean of its divisors is an integer number (357516180000).

Almost surely, 213201200514524 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 13201200514524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160776640000).

13201200514524 is an abundant number, since it is smaller than the sum of its proper divisors (21120352765476).

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

13201200514524 is a wasteful number, since it uses less digits than its factorization.

13201200514524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219483 (or 219481 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13201200514524 its reverse (42541500210231), we get a palindrome (55742700724755).

The spelling of 13201200514524 in words is "thirteen trillion, two hundred one billion, two hundred million, five hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 10169 20338 30507 40676 61014 111859 122028 209249 223718 335577 418498 447436 477943 627747 671154 836996 955886 1255494 1342308 1433829 1911772 2301739 2510988 2867658 4603478 5257373 5735316 6905217 9206956 9834703 10514746 13810434 15772119 19669406 21029492 27620868 29504109 31544238 39338812 59008218 63088476 108181733 118016436 216363466 324545199 432726932 649090398 1298180796 2127853081 4255706162 6383559243 8511412324 12767118486 23406383891 25534236972 46812767782 70219151673 93625535564 100009094807 140438303346 200018189614 280876606692 300027284421 400036379228 600054568842 1100100042877 1200109137684 2200200085754 3300300128631 4400400171508 6600600257262 13201200514524