Search a number
-
+
315145301041 is a prime number
BaseRepresentation
bin1001001011000000001…
…11111010110000110001
31010010110000111000222201
410211200013322300301
520130404144113131
6400435321303201
731524410601064
oct4454007726061
91103400430881
10315145301041
1111171a34111a
12510b1634b01
13239447bcabc
141137878a8db
1582e7125761
hex49601fac31

315145301041 has 2 divisors, whose sum is σ = 315145301042. Its totient is φ = 315145301040.

The previous prime is 315145301021. The next prime is 315145301059. The reversal of 315145301041 is 140103541513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219600018225 + 95545282816 = 468615^2 + 309104^2 .

It is a cyclic number.

It is not a de Polignac number, because 315145301041 - 27 = 315145300913 is a prime.

It is not a weakly prime, because it can be changed into another prime (315145301021) 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, 157572650520 + 157572650521.

It is an arithmetic number, because the mean of its divisors is an integer number (157572650521).

Almost surely, 2315145301041 is an apocalyptic number.

It is an amenable number.

315145301041 is a deficient number, since it is larger than the sum of its proper divisors (1).

315145301041 is an equidigital number, since it uses as much as digits as its factorization.

315145301041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 315145301041 its reverse (140103541513), we get a palindrome (455248842554).

The spelling of 315145301041 in words is "three hundred fifteen billion, one hundred forty-five million, three hundred one thousand, forty-one".