Search a number
-
+
31232103232133 is a prime number
BaseRepresentation
bin1110001100111110010100…
…11010110011001010000101
311002120202111222022000221002
413012133022122303022011
513043201321411412013
6150231455151303045
76402305430146216
oct706371232631205
9132522458260832
1031232103232133
119a51508067651
123604ba821aa85
131457236a6c0ab
1479d8db3ab40d
15392643093358
hex1c67ca6b3285

31232103232133 has 2 divisors, whose sum is σ = 31232103232134. Its totient is φ = 31232103232132.

The previous prime is 31232103232129. The next prime is 31232103232153. The reversal of 31232103232133 is 33123230123213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30300874372129 + 931228860004 = 5504623^2 + 965002^2 .

It is a cyclic number.

It is not a de Polignac number, because 31232103232133 - 22 = 31232103232129 is a prime.

It is a super-2 number, since 2×312321032321332 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31232103232096 and 31232103232105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31232103232153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616051616066 + 15616051616067.

It is an arithmetic number, because the mean of its divisors is an integer number (15616051616067).

Almost surely, 231232103232133 is an apocalyptic number.

It is an amenable number.

31232103232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31232103232133 is an equidigital number, since it uses as much as digits as its factorization.

31232103232133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 31232103232133 its reverse (33123230123213), we get a palindrome (64355333355346).

The spelling of 31232103232133 in words is "thirty-one trillion, two hundred thirty-two billion, one hundred three million, two hundred thirty-two thousand, one hundred thirty-three".