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212134434013 is a prime number
BaseRepresentation
bin1100010110010000110…
…0101001010011011101
3202021120000100210122101
43011210030221103131
511433422403342023
6241241521045101
721216613636435
oct3054414512335
9667500323571
10212134434013
1181a693a3067
1235143486791
1317009292748
14a3a58d52c5
1557b88ec1ad
hex31643294dd

212134434013 has 2 divisors, whose sum is σ = 212134434014. Its totient is φ = 212134434012.

The previous prime is 212134433999. The next prime is 212134434103. The reversal of 212134434013 is 310434431212.

It is a happy number.

Together with next prime (212134434103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210531392569 + 1603041444 = 458837^2 + 40038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212134434013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212134434713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106067217006 + 106067217007.

It is an arithmetic number, because the mean of its divisors is an integer number (106067217007).

Almost surely, 2212134434013 is an apocalyptic number.

It is an amenable number.

212134434013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212134434013 is an equidigital number, since it uses as much as digits as its factorization.

212134434013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212134434013 its reverse (310434431212), we get a palindrome (522568865225).

The spelling of 212134434013 in words is "two hundred twelve billion, one hundred thirty-four million, four hundred thirty-four thousand, thirteen".