Search a number
-
+
300057631 is a prime number
BaseRepresentation
bin10001111000101…
…000010000011111
3202220121111200121
4101320220100133
51103303321011
645435135411
710302306406
oct2170502037
9686544617
10300057631
11144413815
12845a4567
134a21b0c3
142bbca63d
151b520e71
hex11e2841f

300057631 has 2 divisors, whose sum is σ = 300057632. Its totient is φ = 300057630.

The previous prime is 300057629. The next prime is 300057647. The reversal of 300057631 is 136750003.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 300057631 - 21 = 300057629 is a prime.

It is a super-2 number, since 2×3000576312 = 180069163842664322, which contains 22 as substring.

Together with 300057629, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 300057596 and 300057605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300057661) 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, 150028815 + 150028816.

It is an arithmetic number, because the mean of its divisors is an integer number (150028816).

Almost surely, 2300057631 is an apocalyptic number.

300057631 is a deficient number, since it is larger than the sum of its proper divisors (1).

300057631 is an equidigital number, since it uses as much as digits as its factorization.

300057631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 300057631 is about 17322.1716594658. The cubic root of 300057631 is about 669.4758141046.

Subtracting from 300057631 its reverse (136750003), we obtain a triangular number (163307628 = T18072).

It can be divided in two parts, 30005 and 7631, that added together give a square (37636 = 1942).

The spelling of 300057631 in words is "three hundred million, fifty-seven thousand, six hundred thirty-one".