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30213 = 34373
BaseRepresentation
bin111011000000101
31112110000
413120011
51431323
6351513
7154041
oct73005
945400
1030213
1120777
1215599
13109a1
14b021
158e43
hex7605

30213 has 10 divisors (see below), whose sum is σ = 45254. Its totient is φ = 20088.

The previous prime is 30211. The next prime is 30223. The reversal of 30213 is 31203.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 3969 = 162^2 + 63^2 .

It is not a de Polignac number, because 30213 - 21 = 30211 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 30195 and 30204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 106 + ... + 267.

230213 is an apocalyptic number.

It is an amenable number.

30213 is a deficient number, since it is larger than the sum of its proper divisors (15041).

30213 is an equidigital number, since it uses as much as digits as its factorization.

30213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30213 is about 173.8188712425. The cubic root of 30213 is about 31.1456895392.

Adding to 30213 its reverse (31203), we get a palindrome (61416).

Subtracting 30213 from its reverse (31203), we obtain a triangular number (990 = T44).

It can be divided in two parts, 30 and 213, that added together give a 5-th power (243 = 35).

The spelling of 30213 in words is "thirty thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 373 1119 3357 10071 30213