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212472313 is a prime number
BaseRepresentation
bin11001010101000…
…01000111111001
3112210210201012221
430222201013321
5413343103223
633030004041
75156661544
oct1452410771
9483721187
10212472313
11a9a31659
125b1a6621
1335033281
142030b85b
15139beb5d
hexcaa11f9

212472313 has 2 divisors, whose sum is σ = 212472314. Its totient is φ = 212472312.

The previous prime is 212472311. The next prime is 212472347. The reversal of 212472313 is 313274212.

It is a happy number.

212472313 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., 199741689 + 12730624 = 14133^2 + 3568^2 .

It is a cyclic number.

It is not a de Polignac number, because 212472313 - 21 = 212472311 is a prime.

Together with 212472311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212472311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106236156 + 106236157.

It is an arithmetic number, because the mean of its divisors is an integer number (106236157).

Almost surely, 2212472313 is an apocalyptic number.

It is an amenable number.

212472313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212472313 is an equidigital number, since it uses as much as digits as its factorization.

212472313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 25.

The square root of 212472313 is about 14576.4300499128. The cubic root of 212472313 is about 596.7156779995.

The spelling of 212472313 in words is "two hundred twelve million, four hundred seventy-two thousand, three hundred thirteen".