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212312213153 is a prime number
BaseRepresentation
bin1100010110111011001…
…0110100011010100001
3202022000101212220202222
43011232302310122201
511434303411310103
6241311311320425
721224203015115
oct3055662643241
9668011786688
10212312213153
118204a789177
1235192b20115
13170370697c1
14a3c1371745
1557c9317638
hex316ecb46a1

212312213153 has 2 divisors, whose sum is σ = 212312213154. Its totient is φ = 212312213152.

The previous prime is 212312213119. The next prime is 212312213213. The reversal of 212312213153 is 351312213212.

212312213153 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., 176011294369 + 36300918784 = 419537^2 + 190528^2 .

It is a cyclic number.

It is not a de Polignac number, because 212312213153 - 214 = 212312196769 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212312210153) 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, 106156106576 + 106156106577.

It is an arithmetic number, because the mean of its divisors is an integer number (106156106577).

Almost surely, 2212312213153 is an apocalyptic number.

It is an amenable number.

212312213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312213153 is an equidigital number, since it uses as much as digits as its factorization.

212312213153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

Adding to 212312213153 its reverse (351312213212), we get a palindrome (563624426365).

The spelling of 212312213153 in words is "two hundred twelve billion, three hundred twelve million, two hundred thirteen thousand, one hundred fifty-three".