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213444452413 is a prime number
BaseRepresentation
bin1100011011001001000…
…1111110000000111101
3202101221022101122001101
43012302101332000331
511444113234434123
6242015515213101
721264231624163
oct3066221760075
9671838348041
10213444452413
11825809132a5
123544a147191
13171877c776a
14a48b8a3233
15584391aaad
hex31b247e03d

213444452413 has 2 divisors, whose sum is σ = 213444452414. Its totient is φ = 213444452412.

The previous prime is 213444452401. The next prime is 213444452471. The reversal of 213444452413 is 314254444312.

It is a happy number.

213444452413 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., 155284859844 + 58159592569 = 394062^2 + 241163^2 .

It is a cyclic number.

It is not a de Polignac number, because 213444452413 - 221 = 213442355261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213444452483) 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, 106722226206 + 106722226207.

It is an arithmetic number, because the mean of its divisors is an integer number (106722226207).

Almost surely, 2213444452413 is an apocalyptic number.

It is an amenable number.

213444452413 is a deficient number, since it is larger than the sum of its proper divisors (1).

213444452413 is an equidigital number, since it uses as much as digits as its factorization.

213444452413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 184320, while the sum is 37.

Adding to 213444452413 its reverse (314254444312), we get a palindrome (527698896725).

The spelling of 213444452413 in words is "two hundred thirteen billion, four hundred forty-four million, four hundred fifty-two thousand, four hundred thirteen".