Search a number
-
+
231003331201 is a prime number
BaseRepresentation
bin1101011100100011011…
…1110001101010000001
3211002021000112002112101
43113020313301222001
512241043323044301
6254042123030401
722455322626466
oct3271067615201
9732230462471
10231003331201
1189a713a3875
123892a66b401
1318a25519776
14b2758a366d
1560201db701
hex35c8df1a81

231003331201 has 2 divisors, whose sum is σ = 231003331202. Its totient is φ = 231003331200.

The previous prime is 231003331193. The next prime is 231003331211. The reversal of 231003331201 is 102133300132.

231003331201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230977321201 + 26010000 = 480601^2 + 5100^2 .

It is a cyclic number.

It is not a de Polignac number, because 231003331201 - 23 = 231003331193 is a prime.

It is not a weakly prime, because it can be changed into another prime (231003331211) 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, 115501665600 + 115501665601.

It is an arithmetic number, because the mean of its divisors is an integer number (115501665601).

Almost surely, 2231003331201 is an apocalyptic number.

It is an amenable number.

231003331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

231003331201 is an equidigital number, since it uses as much as digits as its factorization.

231003331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 231003331201 its reverse (102133300132), we get a palindrome (333136631333).

The spelling of 231003331201 in words is "two hundred thirty-one billion, three million, three hundred thirty-one thousand, two hundred one".