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3131034113 is a prime number
BaseRepresentation
bin1011101010011111…
…1100101000000001
322002012121000100102
42322213330220001
522403021042423
61234404532145
7140406231224
oct27247745001
98065530312
103131034113
1113674292a9
127346b1055
133ab8a290c
14219b955bb
15134d28c28
hexba9fca01

3131034113 has 2 divisors, whose sum is σ = 3131034114. Its totient is φ = 3131034112.

The previous prime is 3131034083. The next prime is 3131034119. The reversal of 3131034113 is 3114301313.

3131034113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2947621264 + 183412849 = 54292^2 + 13543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131034113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3131034119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565517056 + 1565517057.

It is an arithmetic number, because the mean of its divisors is an integer number (1565517057).

Almost surely, 23131034113 is an apocalyptic number.

It is an amenable number.

3131034113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131034113 is an equidigital number, since it uses as much as digits as its factorization.

3131034113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3131034113 is about 55955.6441567783. The cubic root of 3131034113 is about 1462.9492696049.

Adding to 3131034113 its reverse (3114301313), we get a palindrome (6245335426).

The spelling of 3131034113 in words is "three billion, one hundred thirty-one million, thirty-four thousand, one hundred thirteen".