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13103332300 = 2252239758733
BaseRepresentation
bin11000011010000010…
…01111101111001100
31020211012020020201201
430031001033233030
5203313423113200
610004121515244
7642466325662
oct141501175714
936735206651
1013103332300
115614542553
122658342b24
13130a911186
148c4386c32
1551a563c6a
hex30d04fbcc

13103332300 has 72 divisors (see below), whose sum is σ = 29976893856. Its totient is φ = 4961679360.

The previous prime is 13103332289. The next prime is 13103332321. The reversal of 13103332300 is 323330131.

13103332300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 193734 + ... + 252466.

It is an arithmetic number, because the mean of its divisors is an integer number (416345748).

Almost surely, 213103332300 is an apocalyptic number.

13103332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988446928).

13103332300 is an abundant number, since it is smaller than the sum of its proper divisors (16873561556).

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

13103332300 is a wasteful number, since it uses less digits than its factorization.

13103332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58867 (or 58860 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13103332300 its reverse (323330131), we get a palindrome (13426662431).

The spelling of 13103332300 in words is "thirteen billion, one hundred three million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 97 100 115 194 230 388 460 485 575 970 1150 1940 2231 2300 2425 4462 4850 8924 9700 11155 22310 44620 55775 58733 111550 117466 223100 234932 293665 587330 1174660 1350859 1468325 2701718 2936650 5403436 5697101 5873300 6754295 11394202 13508590 22788404 27017180 28485505 33771475 56971010 67542950 113942020 131033323 135085900 142427525 262066646 284855050 524133292 569710100 655166615 1310333230 2620666460 3275833075 6551666150 13103332300