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113205533 = 7217373673
BaseRepresentation
bin1101011111101…
…10000100011101
321220000102210112
412233312010131
5212440034113
615122215405
72543142200
oct657660435
9256012715
10113205533
11589a0aa1
1231ab4565
131a5b842c
141106b937
159e125a8
hex6bf611d

113205533 has 24 divisors (see below), whose sum is σ = 143241912. Its totient is φ = 88833024.

The previous prime is 113205523. The next prime is 113205557. The reversal of 113205533 is 335502311.

It can be written as a sum of positive squares in 4 ways, for example, as 26399044 + 86806489 = 5138^2 + 9317^2 .

It is not a de Polignac number, because 113205533 - 214 = 113189149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113205499 and 113205508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28985 + ... + 32657.

It is an arithmetic number, because the mean of its divisors is an integer number (5968413).

Almost surely, 2113205533 is an apocalyptic number.

It is an amenable number.

113205533 is a deficient number, since it is larger than the sum of its proper divisors (30036379).

113205533 is a wasteful number, since it uses less digits than its factorization.

113205533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 113205533 is about 10639.8088798625. The cubic root of 113205533 is about 483.7517524035.

Adding to 113205533 its reverse (335502311), we get a palindrome (448707844).

The spelling of 113205533 in words is "one hundred thirteen million, two hundred five thousand, five hundred thirty-three".

Divisors: 1 7 17 37 49 119 259 629 833 1813 3673 4403 25711 30821 62441 135901 179977 437087 951307 2310317 3059609 6659149 16172219 113205533