Search a number
-
+
331130000249 is a prime number
BaseRepresentation
bin1001101000110001110…
…00101101001101111001
31011122201000111220001022
410310120320231031321
520411123240001444
6412041413032225
732631465363506
oct4643070551571
91148630456038
10331130000249
11118482286234
1254212925675
13252c13497b9
14120536984ad
1589305e79ee
hex4d18e2d379

331130000249 has 2 divisors, whose sum is σ = 331130000250. Its totient is φ = 331130000248.

The previous prime is 331130000233. The next prime is 331130000251. The reversal of 331130000249 is 942000031133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203658151225 + 127471849024 = 451285^2 + 357032^2 .

It is a cyclic number.

It is not a de Polignac number, because 331130000249 - 24 = 331130000233 is a prime.

Together with 331130000251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331130002249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565000124 + 165565000125.

It is an arithmetic number, because the mean of its divisors is an integer number (165565000125).

Almost surely, 2331130000249 is an apocalyptic number.

It is an amenable number.

331130000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331130000249 is an equidigital number, since it uses as much as digits as its factorization.

331130000249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 331130000249 in words is "three hundred thirty-one billion, one hundred thirty million, two hundred forty-nine", and thus it is an aban number.