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113526125 = 539532
BaseRepresentation
bin1101100010001…
…00010101101101
321220121201120022
412301010111231
5213030314000
615133131525
72545645646
oct661042555
9256551508
10113526125
115909a949
1232029ba5
131a69b32b
14111126cd
159e77585
hex6c4456d

113526125 has 12 divisors (see below), whose sum is σ = 141829428. Its totient is φ = 90725600.

The previous prime is 113526107. The next prime is 113526131. The reversal of 113526125 is 521625311.

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 45941284 + 67584841 = 6778^2 + 8221^2 .

It is not a de Polignac number, because 113526125 - 28 = 113525869 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 113526094 and 113526103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118649 + ... + 119601.

It is an arithmetic number, because the mean of its divisors is an integer number (11819119).

Almost surely, 2113526125 is an apocalyptic number.

It is an amenable number.

113526125 is a deficient number, since it is larger than the sum of its proper divisors (28303303).

113526125 is an frugal number, since it uses more digits than its factorization.

113526125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 958 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 113526125 is about 10654.8639127865. The cubic root of 113526125 is about 484.2079750170.

The spelling of 113526125 in words is "one hundred thirteen million, five hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 125 953 4765 23825 119125 908209 4541045 22705225 113526125