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13312123113102 = 23112922733059891
BaseRepresentation
bin1100000110110111100001…
…0111101000111010001110
31202010121220202012111210120
43001231320113220322032
53221101212004104402
644151301022045410
72542524551316102
oct301557027507216
952117822174716
1013312123113102
1142727044a6330
1215abb8b119866
137574352c5718
1434044b271902
1518142b2d43bc
hexc1b785e8e8e

13312123113102 has 64 divisors (see below), whose sum is σ = 30059399842560. Its totient is φ = 3893159244800.

The previous prime is 13312123113083. The next prime is 13312123113127. The reversal of 13312123113102 is 20131132121331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820577 + ... + 5880467.

It is an arithmetic number, because the mean of its divisors is an integer number (469678122540).

Almost surely, 213312123113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312123113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029699921280).

13312123113102 is an abundant number, since it is smaller than the sum of its proper divisors (16747276729458).

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

13312123113102 is a wasteful number, since it uses less digits than its factorization.

13312123113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062209.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13312123113102 its reverse (20131132121331), we get a palindrome (33443255234433).

The spelling of 13312123113102 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2273 4546 6819 13638 25003 50006 65917 75009 131834 150018 197751 395502 725087 1450174 2175261 3059891 4350522 6119782 9179673 18359346 33658801 67317602 88736839 100976403 177473678 201952806 266210517 532421034 976105229 1952210458 2928315687 5856631374 6955132243 13910264486 20865396729 41730793458 76506454673 153012909346 201698835047 229519364019 403397670094 459038728038 605096505141 1210193010282 2218687185517 4437374371034 6656061556551 13312123113102