Search a number
-
+
313011331123 is a prime number
BaseRepresentation
bin1001000111000001110…
…11011110000000110011
31002220221022001010120211
410203200323132000303
520112021400043443
6355443451044551
731420466262331
oct4434073360063
91086838033524
10313011331123
11110824810a17
12507b6a40757
1323694669cca
14112151bab51
15821eaed19d
hex48e0ede033

313011331123 has 2 divisors, whose sum is σ = 313011331124. Its totient is φ = 313011331122.

The previous prime is 313011331111. The next prime is 313011331147. The reversal of 313011331123 is 321133110313.

Adding to 313011331123 its reverse (321133110313), we get a palindrome (634144441436).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313011331123 - 25 = 313011331091 is a prime.

It is a super-2 number, since 2×3130113311232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313011331094 and 313011331103.

It is not a weakly prime, because it can be changed into another prime (313011331183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505665561 + 156505665562.

It is an arithmetic number, because the mean of its divisors is an integer number (156505665562).

Almost surely, 2313011331123 is an apocalyptic number.

313011331123 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011331123 is an equidigital number, since it uses as much as digits as its factorization.

313011331123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 313011331123 in words is "three hundred thirteen billion, eleven million, three hundred thirty-one thousand, one hundred twenty-three".