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212301 = 342621
BaseRepresentation
bin110011110101001101
3101210020000
4303311031
523243201
64314513
71542645
oct636515
9353200
10212301
11135561
12a2a39
137582b
1457525
1542d86
hex33d4d

212301 has 10 divisors (see below), whose sum is σ = 317262. Its totient is φ = 141480.

The previous prime is 212297. The next prime is 212353. The reversal of 212301 is 103212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 9801 = 450^2 + 99^2 .

It is not a de Polignac number, because 212301 - 22 = 212297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212501) 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 9 ways as a sum of consecutive naturals, for example, 1230 + ... + 1391.

2212301 is an apocalyptic number.

It is an amenable number.

212301 is a deficient number, since it is larger than the sum of its proper divisors (104961).

212301 is an equidigital number, since it uses as much as digits as its factorization.

212301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212301 is about 460.7613265021. The cubic root of 212301 is about 59.6555260801.

Adding to 212301 its reverse (103212), we get a palindrome (315513).

The spelling of 212301 in words is "two hundred twelve thousand, three hundred one", and thus it is an iban number.

Divisors: 1 3 9 27 81 2621 7863 23589 70767 212301