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13553143110 = 23251359196337
BaseRepresentation
bin11001001111101010…
…01000110101000110
31021222112122000011100
430213311020311012
5210224101034420
610120510520530
7656600546523
oct144765106506
937875560140
1013553143110
11582543a021
122762b06146
13137cb72a10
14927dd614a
15544cb6190
hex327d48d46

13553143110 has 96 divisors (see below), whose sum is σ = 38592197280. Its totient is φ = 3279596544.

The previous prime is 13553143103. The next prime is 13553143111. The reversal of 13553143110 is 1134135531.

It is a happy number.

13553143110 is a `hidden beast` number, since 1 + 35 + 5 + 314 + 311 + 0 = 666.

13553143110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553143111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29139 + ... + 167198.

It is an arithmetic number, because the mean of its divisors is an integer number (402002055).

Almost surely, 213553143110 is an apocalyptic number.

13553143110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553143110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19296098640).

13553143110 is an abundant number, since it is smaller than the sum of its proper divisors (25039054170).

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

13553143110 is a wasteful number, since it uses less digits than its factorization.

13553143110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196422 (or 196419 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13553143110 its reverse (1134135531), we get a palindrome (14687278641).

The spelling of 13553143110 in words is "thirteen billion, five hundred fifty-three million, one hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3835 4602 5310 6903 7670 11505 13806 23010 34515 69030 196337 392674 589011 981685 1178022 1767033 1963370 2552381 2945055 3534066 5104762 5890110 7657143 8835165 11583883 12761905 15314286 17670330 22971429 23167766 25523810 34751649 38285715 45942858 57919415 69503298 76571430 104254947 114857145 115838830 150590479 173758245 208509894 229714290 301180958 347516490 451771437 521274735 752952395 903542874 1042549470 1355314311 1505904790 2258857185 2710628622 4517714370 6776571555 13553143110