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213214240333 is a prime number
BaseRepresentation
bin1100011010010010001…
…1110001111001001101
3202101100021012122110001
43012210203301321031
511443130321142313
6241541013044301
721255435066013
oct3064443617115
9671307178401
10213214240333
1182472975586
12353a5026691
131714bbc2ab3
14a4690988b3
15582d5e4add
hex31a48f1e4d

213214240333 has 2 divisors, whose sum is σ = 213214240334. Its totient is φ = 213214240332.

The previous prime is 213214240331. The next prime is 213214240339. The reversal of 213214240333 is 333042412312.

It is a happy number.

213214240333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206063339364 + 7150900969 = 453942^2 + 84563^2 .

It is a cyclic number.

It is not a de Polignac number, because 213214240333 - 21 = 213214240331 is a prime.

Together with 213214240331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213214240331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106607120166 + 106607120167.

It is an arithmetic number, because the mean of its divisors is an integer number (106607120167).

Almost surely, 2213214240333 is an apocalyptic number.

It is an amenable number.

213214240333 is a deficient number, since it is larger than the sum of its proper divisors (1).

213214240333 is an equidigital number, since it uses as much as digits as its factorization.

213214240333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213214240333 its reverse (333042412312), we get a palindrome (546256652645).

The spelling of 213214240333 in words is "two hundred thirteen billion, two hundred fourteen million, two hundred forty thousand, three hundred thirty-three".