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212134431217 is a prime number
BaseRepresentation
bin1100010110010000110…
…0101000100111110001
3202021120000100122210211
43011210030220213301
511433422403244332
6241241521024121
721216613625332
oct3054414504761
9667500318724
10212134431217
1181a693a0a55
1235143485041
13170092913a7
14a3a58d4289
1557b88eb447
hex31643289f1

212134431217 has 2 divisors, whose sum is σ = 212134431218. Its totient is φ = 212134431216.

The previous prime is 212134431143. The next prime is 212134431293. The reversal of 212134431217 is 712134431212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211971843216 + 162588001 = 460404^2 + 12751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212134431217 is a prime.

It is not a weakly prime, because it can be changed into another prime (212134431317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106067215608 + 106067215609.

It is an arithmetic number, because the mean of its divisors is an integer number (106067215609).

Almost surely, 2212134431217 is an apocalyptic number.

It is an amenable number.

212134431217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212134431217 is an equidigital number, since it uses as much as digits as its factorization.

212134431217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

Adding to 212134431217 its reverse (712134431212), we get a palindrome (924268862429).

The spelling of 212134431217 in words is "two hundred twelve billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred seventeen".