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3131035133 is a prime number
BaseRepresentation
bin1011101010011111…
…1100110111111101
322002012121001202012
42322213330313331
522403021111013
61234404541005
7140406234212
oct27247746775
98065531665
103131035133
11136742a046
127346b1765
133ab8a3215
14219b95b09
15134d291a8
hexba9fcdfd

3131035133 has 2 divisors, whose sum is σ = 3131035134. Its totient is φ = 3131035132.

The previous prime is 3131035093. The next prime is 3131035147. The reversal of 3131035133 is 3315301313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3051236644 + 79798489 = 55238^2 + 8933^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131035133 - 212 = 3131031037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131035099 and 3131035108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131035183) 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, 1565517566 + 1565517567.

It is an arithmetic number, because the mean of its divisors is an integer number (1565517567).

Almost surely, 23131035133 is an apocalyptic number.

It is an amenable number.

3131035133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131035133 is an equidigital number, since it uses as much as digits as its factorization.

3131035133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 23.

The square root of 3131035133 is about 55955.6532711396. The cubic root of 3131035133 is about 1462.9494284670.

Adding to 3131035133 its reverse (3315301313), we get a palindrome (6446336446).

The spelling of 3131035133 in words is "three billion, one hundred thirty-one million, thirty-five thousand, one hundred thirty-three".