Search a number
-
+
31123313141 is a prime number
BaseRepresentation
bin11100111111000110…
…000001000111110101
32222100001000010022112
4130333012001013311
51002220032010031
622144200340405
72151156540164
oct347706010765
988301003275
1031123313141
11122213318a8
126047174705
132c2001922b
1417136d53db
15c2256762b
hex73f1811f5

31123313141 has 2 divisors, whose sum is σ = 31123313142. Its totient is φ = 31123313140.

The previous prime is 31123313099. The next prime is 31123313153. The reversal of 31123313141 is 14131332113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17216064100 + 13907249041 = 131210^2 + 117929^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123313141 - 210 = 31123312117 is a prime.

It is a super-3 number, since 3×311233131413 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123313161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561656570 + 15561656571.

It is an arithmetic number, because the mean of its divisors is an integer number (15561656571).

Almost surely, 231123313141 is an apocalyptic number.

It is an amenable number.

31123313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123313141 is an equidigital number, since it uses as much as digits as its factorization.

31123313141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 31123313141 its reverse (14131332113), we get a palindrome (45254645254).

The spelling of 31123313141 in words is "thirty-one billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred forty-one".