Search a number
-
+
31318037 is a prime number
BaseRepresentation
bin111011101111…
…0000000010101
32011221010021022
41313132000111
531004134122
63035130525
7530125142
oct167360025
964833238
1031318037
1116750783
12a5a3a45
136646baa
1442333c9
152b39642
hex1dde015

31318037 has 2 divisors, whose sum is σ = 31318038. Its totient is φ = 31318036.

The previous prime is 31318033. The next prime is 31318043. The reversal of 31318037 is 73081313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30316036 + 1002001 = 5506^2 + 1001^2 .

It is an emirp because it is prime and its reverse (73081313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31318037 - 22 = 31318033 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31317997 and 31318015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31318031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15659018 + 15659019.

It is an arithmetic number, because the mean of its divisors is an integer number (15659019).

Almost surely, 231318037 is an apocalyptic number.

It is an amenable number.

31318037 is a deficient number, since it is larger than the sum of its proper divisors (1).

31318037 is an equidigital number, since it uses as much as digits as its factorization.

31318037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 31318037 is about 5596.2520493630. The cubic root of 31318037 is about 315.2086867758.

The spelling of 31318037 in words is "thirty-one million, three hundred eighteen thousand, thirty-seven".