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312214313 is a prime number
BaseRepresentation
bin10010100111000…
…000001100101001
3210202111010112002
4102213000030221
51114411324223
650551500345
710510530545
oct2247001451
9722433462
10312214313
11150267264
12886876b5
134c8b64c8
142d672a25
151c622e28
hex129c0329

312214313 has 2 divisors, whose sum is σ = 312214314. Its totient is φ = 312214312.

The previous prime is 312214297. The next prime is 312214381. The reversal of 312214313 is 313412213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305096089 + 7118224 = 17467^2 + 2668^2 .

It is an emirp because it is prime and its reverse (313412213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312214313 - 24 = 312214297 is a prime.

It is not a weakly prime, because it can be changed into another prime (312214393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156107156 + 156107157.

It is an arithmetic number, because the mean of its divisors is an integer number (156107157).

Almost surely, 2312214313 is an apocalyptic number.

It is an amenable number.

312214313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312214313 is an equidigital number, since it uses as much as digits as its factorization.

312214313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 312214313 is about 17669.5872334359. The cubic root of 312214313 is about 678.3975480799.

Adding to 312214313 its reverse (313412213), we get a palindrome (625626526).

The spelling of 312214313 in words is "three hundred twelve million, two hundred fourteen thousand, three hundred thirteen".