Search a number
-
+
113535521 = 11232811597
BaseRepresentation
bin1101100010001…
…10101000100001
321220122012110022
412301012220201
5213031114041
615133243225
72546015231
oct661065041
9256565408
10113535521
11590a6a10
1232033515
131a6a26a8
1411115cc1
159e7a24b
hex6c46a21

113535521 has 16 divisors (see below), whose sum is σ = 129783168. Its totient is φ = 98313600.

The previous prime is 113535509. The next prime is 113535553. The reversal of 113535521 is 125535311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-113535521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113535581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70295 + ... + 71891.

It is an arithmetic number, because the mean of its divisors is an integer number (8111448).

Almost surely, 2113535521 is an apocalyptic number.

113535521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113535521 is the 5696-th centered heptagonal number.

It is an amenable number.

113535521 is a deficient number, since it is larger than the sum of its proper divisors (16247647).

113535521 is a wasteful number, since it uses less digits than its factorization.

113535521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912.

The product of its digits is 2250, while the sum is 26.

The square root of 113535521 is about 10655.3048290511. The cubic root of 113535521 is about 484.2213331541.

The spelling of 113535521 in words is "one hundred thirteen million, five hundred thirty-five thousand, five hundred twenty-one".

Divisors: 1 11 23 253 281 1597 3091 6463 17567 36731 71093 404041 448757 4936327 10321411 113535521