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312848381 is a prime number
BaseRepresentation
bin10010101001011…
…010111111111101
3210210200100022002
4102221122333331
51120042122011
651013232045
710516111256
oct2251327775
9723610262
10312848381
1115065a68a
1288932625
134ca78cb1
142d799b2d
151c6eac3b
hex12a5affd

312848381 has 2 divisors, whose sum is σ = 312848382. Its totient is φ = 312848380.

The previous prime is 312848363. The next prime is 312848387. The reversal of 312848381 is 183848213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284225881 + 28622500 = 16859^2 + 5350^2 .

It is a cyclic number.

It is not a de Polignac number, because 312848381 - 214 = 312831997 is a prime.

It is a super-2 number, since 2×3128483812 = 195748218988642322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312848387) 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, 156424190 + 156424191.

It is an arithmetic number, because the mean of its divisors is an integer number (156424191).

Almost surely, 2312848381 is an apocalyptic number.

It is an amenable number.

312848381 is a deficient number, since it is larger than the sum of its proper divisors (1).

312848381 is an equidigital number, since it uses as much as digits as its factorization.

312848381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 38.

The square root of 312848381 is about 17687.5204876206. The cubic root of 312848381 is about 678.8564842370.

The spelling of 312848381 in words is "three hundred twelve million, eight hundred forty-eight thousand, three hundred eighty-one".