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213038233 is a prime number
BaseRepresentation
bin11001011001010…
…11010010011001
3112211212110111221
430230223102121
5414014210413
633050052041
75164536502
oct1454532231
9484773457
10213038233
11aa288861
125b41a021
13351a0a35
1420417ba9
1513a8268d
hexcb2b499

213038233 has 2 divisors, whose sum is σ = 213038234. Its totient is φ = 213038232.

The previous prime is 213038227. The next prime is 213038239. The reversal of 213038233 is 332830312.

It is a happy number.

213038233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (213038227) and next prime (213038239).

It can be written as a sum of positive squares in only one way, i.e., 119180889 + 93857344 = 10917^2 + 9688^2 .

It is a cyclic number.

It is not a de Polignac number, because 213038233 - 217 = 212907161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213038198 and 213038207.

It is not a weakly prime, because it can be changed into another prime (213038239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106519116 + 106519117.

It is an arithmetic number, because the mean of its divisors is an integer number (106519117).

Almost surely, 2213038233 is an apocalyptic number.

It is an amenable number.

213038233 is a deficient number, since it is larger than the sum of its proper divisors (1).

213038233 is an equidigital number, since it uses as much as digits as its factorization.

213038233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 213038233 is about 14595.8293015505. The cubic root of 213038233 is about 597.2449923984.

Adding to 213038233 its reverse (332830312), we get a palindrome (545868545).

The spelling of 213038233 in words is "two hundred thirteen million, thirty-eight thousand, two hundred thirty-three".