Search a number
-
+
331032312181 is a prime number
BaseRepresentation
bin1001101000100110001…
…00000011100101110101
31011122110012200211012201
410310103010003211311
520410423232442211
6412024003144501
732626201140604
oct4642304034565
91148405624181
10331032312181
1111843212379a
12541a6075131
13252a70353cc
1412044709a3b
158926c4d0c1
hex4d13103975

331032312181 has 2 divisors, whose sum is σ = 331032312182. Its totient is φ = 331032312180.

The previous prime is 331032312157. The next prime is 331032312217. The reversal of 331032312181 is 181213230133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285146388081 + 45885924100 = 533991^2 + 214210^2 .

It is a cyclic number.

It is not a de Polignac number, because 331032312181 - 237 = 193593358709 is a prime.

It is a super-2 number, since 2×3310323121812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331032312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165516156090 + 165516156091.

It is an arithmetic number, because the mean of its divisors is an integer number (165516156091).

Almost surely, 2331032312181 is an apocalyptic number.

It is an amenable number.

331032312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

331032312181 is an equidigital number, since it uses as much as digits as its factorization.

331032312181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 331032312181 in words is "three hundred thirty-one billion, thirty-two million, three hundred twelve thousand, one hundred eighty-one".