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13335282500 = 225410152813
BaseRepresentation
bin11000110101101100…
…00100001101000100
31021102100200112120212
430122312010031010
5204302313020000
610043125214552
7651314013431
oct143266041504
937370615525
1013335282500
115723468131
122701b61458
1313469a4007
149070c4b88
15530acec35
hex31ad84344

13335282500 has 60 divisors (see below), whose sum is σ = 29450882076. Its totient is φ = 5281200000.

The previous prime is 13335282473. The next prime is 13335282533. The reversal of 13335282500 is 528253331.

It can be written as a sum of positive squares in 10 ways, for example, as 11264850496 + 2070432004 = 106136^2 + 45502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226094 + ... + 278906.

Almost surely, 213335282500 is an apocalyptic number.

13335282500 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 13335282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725441038).

13335282500 is an abundant number, since it is smaller than the sum of its proper divisors (16115599576).

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

13335282500 is a wasteful number, since it uses less digits than its factorization.

13335282500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52938 (or 52921 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 13335282500 in words is "thirteen billion, three hundred thirty-five million, two hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 625 1010 1250 2020 2500 2525 5050 10100 12625 25250 50500 52813 63125 105626 126250 211252 252500 264065 528130 1056260 1320325 2640650 5281300 5334113 6601625 10668226 13203250 21336452 26406500 26670565 33008125 53341130 66016250 106682260 132032500 133352825 266705650 533411300 666764125 1333528250 2667056500 3333820625 6667641250 13335282500