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212312417 is a prime number
BaseRepresentation
bin11001010011110…
…10000101100001
3112210111120212212
430221322011201
5413322444132
633022331505
75155424432
oct1451720541
9483446785
10212312417
11a9932509
125b129b95
1334ca8565
14202a9489
151398c5b2
hexca7a161

212312417 has 2 divisors, whose sum is σ = 212312418. Its totient is φ = 212312416.

The previous prime is 212312413. The next prime is 212312431. The reversal of 212312417 is 714213212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179318881 + 32993536 = 13391^2 + 5744^2 .

It is a cyclic number.

It is not a de Polignac number, because 212312417 - 22 = 212312413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212312392 and 212312401.

It is not a weakly prime, because it can be changed into another prime (212312411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156208 + 106156209.

It is an arithmetic number, because the mean of its divisors is an integer number (106156209).

Almost surely, 2212312417 is an apocalyptic number.

It is an amenable number.

212312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312417 is an equidigital number, since it uses as much as digits as its factorization.

212312417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 212312417 is about 14570.9442727642. The cubic root of 212312417 is about 596.5659543438.

Adding to 212312417 its reverse (714213212), we get a palindrome (926525629).

The spelling of 212312417 in words is "two hundred twelve million, three hundred twelve thousand, four hundred seventeen".