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213632033 is a prime number
BaseRepresentation
bin11001011101111…
…00010000100001
3112212222122001112
430232330100201
5414142211113
633110513105
75202561626
oct1456742041
9485878045
10213632033
11aa6539aa
125b665795
133534b0b4
142053034d
1513b4d5a8
hexcbbc421

213632033 has 2 divisors, whose sum is σ = 213632034. Its totient is φ = 213632032.

The previous prime is 213632011. The next prime is 213632057. The reversal of 213632033 is 330236312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111682624 + 101949409 = 10568^2 + 10097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213632033 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213632093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106816016 + 106816017.

It is an arithmetic number, because the mean of its divisors is an integer number (106816017).

Almost surely, 2213632033 is an apocalyptic number.

It is an amenable number.

213632033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213632033 is an equidigital number, since it uses as much as digits as its factorization.

213632033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 213632033 is about 14616.1565741477. The cubic root of 213632033 is about 597.7993765916.

Adding to 213632033 its reverse (330236312), we get a palindrome (543868345).

The spelling of 213632033 in words is "two hundred thirteen million, six hundred thirty-two thousand, thirty-three".