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212831249 is a prime number
BaseRepresentation
bin11001010111110…
…00110000010001
3112211110221120212
430223320300101
5413441044444
633041413505
75163015161
oct1453706021
9484427525
10212831249
11aa1572a4
125b33a295
133512a767
14203a25a1
1513a4119e
hexcaf8c11

212831249 has 2 divisors, whose sum is σ = 212831250. Its totient is φ = 212831248.

The previous prime is 212831243. The next prime is 212831251. The reversal of 212831249 is 942138212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116791249 + 96040000 = 10807^2 + 9800^2 .

It is a cyclic number.

It is not a de Polignac number, because 212831249 - 220 = 211782673 is a prime.

Together with 212831251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212831243) 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, 106415624 + 106415625.

It is an arithmetic number, because the mean of its divisors is an integer number (106415625).

Almost surely, 2212831249 is an apocalyptic number.

It is an amenable number.

212831249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212831249 is an equidigital number, since it uses as much as digits as its factorization.

212831249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 212831249 is about 14588.7370598006. The cubic root of 212831249 is about 597.0515056659.

The spelling of 212831249 in words is "two hundred twelve million, eight hundred thirty-one thousand, two hundred forty-nine".