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20301125 = 53132312
BaseRepresentation
bin100110101110…
…0010101000101
31102012101220112
41031130111011
520144114000
62003042405
7334361645
oct115342505
942171815
1020301125
1110506599
126970405
13428a500
1429a6525
151bb0235
hex135c545

20301125 has 36 divisors (see below), whose sum is σ = 28348164. Its totient is φ = 14508000.

The previous prime is 20301121. The next prime is 20301137. The reversal of 20301125 is 52110302.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 14303524 + 5997601 = 3782^2 + 2449^2 .

It is not a de Polignac number, because 20301125 - 22 = 20301121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 654860 + ... + 654890.

It is an arithmetic number, because the mean of its divisors is an integer number (787449).

Almost surely, 220301125 is an apocalyptic number.

20301125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20301125 is a deficient number, since it is larger than the sum of its proper divisors (8047039).

20301125 is an equidigital number, since it uses as much as digits as its factorization.

20301125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20301125 is about 4505.6769746621. The cubic root of 20301125 is about 272.7972795872.

Adding to 20301125 its reverse (52110302), we get a palindrome (72411427).

The spelling of 20301125 in words is "twenty million, three hundred one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 31 65 125 155 169 325 403 775 845 961 1625 2015 3875 4225 4805 5239 10075 12493 21125 24025 26195 50375 62465 120125 130975 162409 312325 654875 812045 1561625 4060225 20301125