Search a number
-
+
313123323301 is a prime number
BaseRepresentation
bin1001000111001111001…
…10101011110110100101
31002221020002202220222021
410203213212223312211
520112234032321201
6355502531303141
731423326222205
oct4434746536645
91087202686867
10313123323301
11110881a53338
125082844aab1
13236b191c079
1411226010405
158229870ea1
hex48e79abda5

313123323301 has 2 divisors, whose sum is σ = 313123323302. Its totient is φ = 313123323300.

The previous prime is 313123323299. The next prime is 313123323367. The reversal of 313123323301 is 103323321313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180646250625 + 132477072676 = 425025^2 + 363974^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123323301 - 21 = 313123323299 is a prime.

Together with 313123323299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313123329301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561661650 + 156561661651.

It is an arithmetic number, because the mean of its divisors is an integer number (156561661651).

Almost surely, 2313123323301 is an apocalyptic number.

It is an amenable number.

313123323301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123323301 is an equidigital number, since it uses as much as digits as its factorization.

313123323301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 313123323301 its reverse (103323321313), we get a palindrome (416446644614).

The spelling of 313123323301 in words is "three hundred thirteen billion, one hundred twenty-three million, three hundred twenty-three thousand, three hundred one".