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113727213 = 334212119
BaseRepresentation
bin1101100011101…
…01011011101101
321220222221102000
412301311123231
5213103232323
615141322513
72550444135
oct661653355
9256887360
10113727213
1159217a36
1232106439
131a73ba12
1411165ac5
159eb6e43
hex6c756ed

113727213 has 8 divisors (see below), whose sum is σ = 168484800. Its totient is φ = 75818124.

The previous prime is 113727191. The next prime is 113727223. The reversal of 113727213 is 312727311.

It is not a de Polignac number, because 113727213 - 212 = 113723117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4212119 = 113727213 / (1 + 1 + 3 + 7 + 2 + 7 + 2 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113727223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2106033 + ... + 2106086.

It is an arithmetic number, because the mean of its divisors is an integer number (21060600).

Almost surely, 2113727213 is an apocalyptic number.

It is an amenable number.

113727213 is a deficient number, since it is larger than the sum of its proper divisors (54757587).

113727213 is an equidigital number, since it uses as much as digits as its factorization.

113727213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212128 (or 4212122 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 113727213 is about 10664.2961793078. The cubic root of 113727213 is about 484.4936977393.

The spelling of 113727213 in words is "one hundred thirteen million, seven hundred twenty-seven thousand, two hundred thirteen".

Divisors: 1 3 9 27 4212119 12636357 37909071 113727213