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312145693 is a prime number
BaseRepresentation
bin10010100110101…
…111011100011101
3210202100122101121
4102212233130131
51114402130233
650550210541
710510123516
oct2246573435
9722318347
10312145693
1115021a752
1288653a51
134c8911c2
142d655a0d
151c60c92d
hex129af71d

312145693 has 2 divisors, whose sum is σ = 312145694. Its totient is φ = 312145692.

The previous prime is 312145681. The next prime is 312145703. The reversal of 312145693 is 396541213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282845124 + 29300569 = 16818^2 + 5413^2 .

It is an emirp because it is prime and its reverse (396541213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312145693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312145193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156072846 + 156072847.

It is an arithmetic number, because the mean of its divisors is an integer number (156072847).

Almost surely, 2312145693 is an apocalyptic number.

It is an amenable number.

312145693 is a deficient number, since it is larger than the sum of its proper divisors (1).

312145693 is an equidigital number, since it uses as much as digits as its factorization.

312145693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 34.

The square root of 312145693 is about 17667.6453722617. The cubic root of 312145693 is about 678.3478439198.

The spelling of 312145693 in words is "three hundred twelve million, one hundred forty-five thousand, six hundred ninety-three".