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113301 = 3212589
BaseRepresentation
bin11011101010010101
312202102100
4123222111
512111201
62232313
7651216
oct335225
9182370
10113301
1178141
1255699
133c756
142d40d
1523886
hex1ba95

113301 has 6 divisors (see below), whose sum is σ = 163670. Its totient is φ = 75528.

The previous prime is 113287. The next prime is 113327. The reversal of 113301 is 103311.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 40401 = 270^2 + 201^2 .

It is not a de Polignac number, because 113301 - 27 = 113173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12589 = 113301 / (1 + 1 + 3 + 3 + 0 + 1).

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6286 + ... + 6303.

2113301 is an apocalyptic number.

It is an amenable number.

113301 is a deficient number, since it is larger than the sum of its proper divisors (50369).

113301 is a wasteful number, since it uses less digits than its factorization.

113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 113301 is about 336.6021390306. The cubic root of 113301 is about 48.3887697916.

Adding to 113301 its reverse (103311), we get a palindrome (216612).

It can be divided in two parts, 113 and 301, that added together give a palindrome (414).

The spelling of 113301 in words is "one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 12589 37767 113301