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213031333 is a prime number
BaseRepresentation
bin11001011001010…
…01100110100101
3112211212010001101
430230221212211
5414014000313
633050000101
75164510414
oct1454514645
9484763041
10213031333
11aa283659
125b416031
133519a858
142041547b
1513a805dd
hexcb299a5

213031333 has 2 divisors, whose sum is σ = 213031334. Its totient is φ = 213031332.

The previous prime is 213031309. The next prime is 213031339. The reversal of 213031333 is 333130312.

213031333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210772324 + 2259009 = 14518^2 + 1503^2 .

It is a cyclic number.

It is not a de Polignac number, because 213031333 - 29 = 213030821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213031333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213031339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106515666 + 106515667.

It is an arithmetic number, because the mean of its divisors is an integer number (106515667).

Almost surely, 2213031333 is an apocalyptic number.

It is an amenable number.

213031333 is a deficient number, since it is larger than the sum of its proper divisors (1).

213031333 is an equidigital number, since it uses as much as digits as its factorization.

213031333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 213031333 is about 14595.5929307445. The cubic root of 213031333 is about 597.2385443619.

Adding to 213031333 its reverse (333130312), we get a palindrome (546161645).

The spelling of 213031333 in words is "two hundred thirteen million, thirty-one thousand, three hundred thirty-three".