Search a number
-
+
3130023131 is a prime number
BaseRepresentation
bin1011101010010000…
…0101110011011011
322002010200122112122
42322210011303123
522402241220011
61234331131455
7140364520604
oct27244056333
98063618478
103130023131
1113668a8784
127342a3b8b
133ab60a6c1
142199b0dab
15134bc93db
hexba905cdb

3130023131 has 2 divisors, whose sum is σ = 3130023132. Its totient is φ = 3130023130.

The previous prime is 3130023059. The next prime is 3130023133. The reversal of 3130023131 is 1313200313.

It is a strong prime.

It is an emirp because it is prime and its reverse (1313200313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3130023131 is a prime.

It is a super-2 number, since 2×31300231312 = 19594089601190086322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3130023133, 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 (3130023133) 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, 1565011565 + 1565011566.

It is an arithmetic number, because the mean of its divisors is an integer number (1565011566).

Almost surely, 23130023131 is an apocalyptic number.

3130023131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3130023131 is an equidigital number, since it uses as much as digits as its factorization.

3130023131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3130023131 is about 55946.6096470555. The cubic root of 3130023131 is about 1462.7917950517.

Adding to 3130023131 its reverse (1313200313), we get a palindrome (4443223444).

The spelling of 3130023131 in words is "three billion, one hundred thirty million, twenty-three thousand, one hundred thirty-one".