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13112500 = 22551049
BaseRepresentation
bin110010000001…
…010010110100
3220200011222011
4302001102310
511324100000
61145014004
7216311602
oct62012264
926604864
1013112500
117446685
124484304
13294149b
141a54872
1512402ba
hexc814b4

13112500 has 36 divisors (see below), whose sum is σ = 28709100. Its totient is φ = 5240000.

The previous prime is 13112471. The next prime is 13112501. The reversal of 13112500 is 521131.

It can be written as a sum of positive squares in 6 ways, for example, as 8076964 + 5035536 = 2842^2 + 2244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11976 + ... + 13024.

It is an arithmetic number, because the mean of its divisors is an integer number (797475).

Almost surely, 213112500 is an apocalyptic number.

13112500 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 13112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354550).

13112500 is an abundant number, since it is smaller than the sum of its proper divisors (15596600).

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

13112500 is an equidigital number, since it uses as much as digits as its factorization.

13112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13112500 is about 3621.1186117000. The cubic root of 13112500 is about 235.8097911991.

Adding to 13112500 its reverse (521131), we get a palindrome (13633631).

The spelling of 13112500 in words is "thirteen million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1049 1250 2098 2500 3125 4196 5245 6250 10490 12500 20980 26225 52450 104900 131125 262250 524500 655625 1311250 2622500 3278125 6556250 13112500