Search a number
-
+
13200313435125 = 353431018105189
BaseRepresentation
bin1100000000010110111111…
…1111100100001111110101
31201201221022112120100221020
43000011233333210033311
53212233220214411000
644024050144411353
72531456033612415
oct300055777441765
951657275510836
1013200313435125
11422a248891393
121592386316b59
13749a26bca65b
14338c819b6645
1517d5853c0ba0
hexc016ffe43f5

13200313435125 has 64 divisors (see below), whose sum is σ = 22698681857280. Its totient is φ = 6808357920000.

The previous prime is 13200313435123. The next prime is 13200313435151. The reversal of 13200313435125 is 52153431300231.

It is not a de Polignac number, because 13200313435125 - 21 = 13200313435123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200313435123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2423970 + ... + 5681219.

It is an arithmetic number, because the mean of its divisors is an integer number (354666904020).

Almost surely, 213200313435125 is an apocalyptic number.

13200313435125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13200313435125 is a deficient number, since it is larger than the sum of its proper divisors (9498368422155).

13200313435125 is a wasteful number, since it uses less digits than its factorization.

13200313435125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105351 (or 8105341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13200313435125 its reverse (52153431300231), we get a palindrome (65353744735356).

The spelling of 13200313435125 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, four hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 101 125 129 215 303 375 505 645 1075 1515 2525 3225 4343 5375 7575 12625 13029 16125 21715 37875 65145 108575 325725 542875 1628625 8105189 24315567 40525945 121577835 202629725 348523127 607889175 818624089 1013148625 1045569381 1742615635 2455872267 3039445875 4093120445 5227846905 8713078175 12279361335 20465602225 26139234525 35200835827 43565390875 61396806675 102328011125 105602507481 130696172625 176004179135 306984033375 528012537405 880020895675 2640062687025 4400104478375 13200313435125