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52120213 is a prime number
BaseRepresentation
bin1100011011010…
…0101010010101
310122001222111021
43012310222111
5101320321323
65101041141
71202004655
oct306645225
9118058437
1052120213
1127469762
12155561b1
13aa4b482
146cca365
15489805d
hex31b4a95

52120213 has 2 divisors, whose sum is σ = 52120214. Its totient is φ = 52120212.

The previous prime is 52120193. The next prime is 52120219. The reversal of 52120213 is 31202125.

52120213 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., 35129329 + 16990884 = 5927^2 + 4122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52120213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52120219) 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, 26060106 + 26060107.

It is an arithmetic number, because the mean of its divisors is an integer number (26060107).

Almost surely, 252120213 is an apocalyptic number.

It is an amenable number.

52120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

52120213 is an equidigital number, since it uses as much as digits as its factorization.

52120213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 52120213 is about 7219.4330109781. The cubic root of 52120213 is about 373.5385201967.

Adding to 52120213 its reverse (31202125), we get a palindrome (83322338).

The spelling of 52120213 in words is "fifty-two million, one hundred twenty thousand, two hundred thirteen".