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312504133 is a prime number
BaseRepresentation
bin10010101000000…
…110111101000101
3210210000212002011
4102220012331011
51120000113013
651002014221
710513145524
oct2250067505
9723025064
10312504133
11150444a87
12887a7371
134c9883b6
142d70a4bb
151c67dc3d
hex12a06f45

312504133 has 2 divisors, whose sum is σ = 312504134. Its totient is φ = 312504132.

The previous prime is 312504121. The next prime is 312504139. The reversal of 312504133 is 331405213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179747649 + 132756484 = 13407^2 + 11522^2 .

It is a cyclic number.

It is not a de Polignac number, because 312504133 - 213 = 312495941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312504139) 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, 156252066 + 156252067.

It is an arithmetic number, because the mean of its divisors is an integer number (156252067).

Almost surely, 2312504133 is an apocalyptic number.

It is an amenable number.

312504133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312504133 is an equidigital number, since it uses as much as digits as its factorization.

312504133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 312504133 is about 17677.7864281702. The cubic root of 312504133 is about 678.6073957857.

Adding to 312504133 its product of nonzero digits (1080), we get a palindrome (312505213).

Adding to 312504133 its reverse (331405213), we get a palindrome (643909346).

The spelling of 312504133 in words is "three hundred twelve million, five hundred four thousand, one hundred thirty-three".