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3001251313 is a prime number
BaseRepresentation
bin1011001011100011…
…0111010111110001
321202011101100211001
42302320313113301
522121310020223
61213451122001
7134242133554
oct26270672761
97664340731
103001251313
111300145595
126b9143301
1338aa31c68
1420685069b
1512873e9ad
hexb2e375f1

3001251313 has 2 divisors, whose sum is σ = 3001251314. Its totient is φ = 3001251312.

The previous prime is 3001251307. The next prime is 3001251367. The reversal of 3001251313 is 3131521003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2878107904 + 123143409 = 53648^2 + 11097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3001251313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3001251613) 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, 1500625656 + 1500625657.

It is an arithmetic number, because the mean of its divisors is an integer number (1500625657).

Almost surely, 23001251313 is an apocalyptic number.

It is an amenable number.

3001251313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001251313 is an equidigital number, since it uses as much as digits as its factorization.

3001251313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 3001251313 is about 54783.6774322425. The cubic root of 3001251313 is about 1442.4500652827.

Adding to 3001251313 its reverse (3131521003), we get a palindrome (6132772316).

The spelling of 3001251313 in words is "three billion, one million, two hundred fifty-one thousand, three hundred thirteen".