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13330125 = 325317241
BaseRepresentation
bin110010110110…
…011011001101
3221002020111100
4302312123031
511403031000
61153413313
7221206224
oct62663315
927066440
1013330125
117585136
12456a239
1329b9563
141aadcbb
151284a00
hexcb66cd

13330125 has 72 divisors (see below), whose sum is σ = 26149032. Its totient is φ = 6528000.

The previous prime is 13330117. The next prime is 13330127. The reversal of 13330125 is 52103331.

It can be written as a sum of positive squares in 12 ways, for example, as 9253764 + 4076361 = 3042^2 + 2019^2 .

It is not a de Polignac number, because 13330125 - 23 = 13330117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13330098 and 13330107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325105 + ... + 325145.

It is an arithmetic number, because the mean of its divisors is an integer number (363181).

Almost surely, 213330125 is an apocalyptic number.

13330125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13330125 is a deficient number, since it is larger than the sum of its proper divisors (12818907).

13330125 is a wasteful number, since it uses less digits than its factorization.

13330125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13330125 is about 3651.0443711355. The cubic root of 13330125 is about 237.1071992747.

Adding to 13330125 its reverse (52103331), we get a palindrome (65433456).

The spelling of 13330125 in words is "thirteen million, three hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 41 45 51 75 85 123 125 153 205 225 255 289 369 375 425 615 697 765 867 1025 1125 1275 1445 1845 2091 2125 2601 3075 3485 3825 4335 5125 6273 6375 7225 9225 10455 11849 13005 15375 17425 19125 21675 31365 35547 36125 46125 52275 59245 65025 87125 106641 108375 156825 177735 261375 296225 325125 533205 784125 888675 1481125 2666025 4443375 13330125