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312212132209 is a prime number
BaseRepresentation
bin1001000101100010100…
…10110001000101110001
31002211212121012121210001
410202301102301011301
520103402301212314
6355232301310001
731361623223335
oct4426122610561
91084777177701
10312212132209
11110454677a4a
1250613265301
1323597c07943
141117adbd7c5
1581c4883674
hex48b14b1171

312212132209 has 2 divisors, whose sum is σ = 312212132210. Its totient is φ = 312212132208.

The previous prime is 312212132161. The next prime is 312212132249. The reversal of 312212132209 is 902231212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312184800225 + 27331984 = 558735^2 + 5228^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212132209 - 211 = 312212130161 is a prime.

It is not a weakly prime, because it can be changed into another prime (312212132249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106066104 + 156106066105.

It is an arithmetic number, because the mean of its divisors is an integer number (156106066105).

Almost surely, 2312212132209 is an apocalyptic number.

It is an amenable number.

312212132209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212132209 is an equidigital number, since it uses as much as digits as its factorization.

312212132209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 312212132209 in words is "three hundred twelve billion, two hundred twelve million, one hundred thirty-two thousand, two hundred nine".