Search a number
-
+
313006811801 is a prime number
BaseRepresentation
bin1001000111000001010…
…10001110101010011001
31002220220222112112020112
410203200222032222121
520112014220434201
6355443210134105
731420413000425
oct4434052165231
91086828475215
10313006811801
11110822204542
12507b5421335
1323693746c58
1411214761b85
15821e5090bb
hex48e0a8ea99

313006811801 has 2 divisors, whose sum is σ = 313006811802. Its totient is φ = 313006811800.

The previous prime is 313006811779. The next prime is 313006811839. The reversal of 313006811801 is 108118600313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 297766662400 + 15240149401 = 545680^2 + 123451^2 .

It is a cyclic number.

It is not a de Polignac number, because 313006811801 - 210 = 313006810777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313006811881) 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, 156503405900 + 156503405901.

It is an arithmetic number, because the mean of its divisors is an integer number (156503405901).

Almost surely, 2313006811801 is an apocalyptic number.

It is an amenable number.

313006811801 is a deficient number, since it is larger than the sum of its proper divisors (1).

313006811801 is an equidigital number, since it uses as much as digits as its factorization.

313006811801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 313006811801 in words is "three hundred thirteen billion, six million, eight hundred eleven thousand, eight hundred one".