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3141148097 is a prime number
BaseRepresentation
bin1011101100111010…
…0001110111000001
322002220121212010102
42323032201313001
522413113214342
61235405412145
7140561214113
oct27316416701
98086555112
103141148097
11137210706a
12737b6a055
133b0a04319
1421b2693b3
15135b75832
hexbb3a1dc1

3141148097 has 2 divisors, whose sum is σ = 3141148098. Its totient is φ = 3141148096.

The previous prime is 3141148057. The next prime is 3141148099. The reversal of 3141148097 is 7908411413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2992527616 + 148620481 = 54704^2 + 12191^2 .

It is a cyclic number.

It is not a de Polignac number, because 3141148097 - 224 = 3124370881 is a prime.

It is a super-2 number, since 2×31411480972 = 19733622734573442818, which contains 22 as substring.

Together with 3141148099, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3141148097.

It is not a weakly prime, because it can be changed into another prime (3141148099) 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, 1570574048 + 1570574049.

It is an arithmetic number, because the mean of its divisors is an integer number (1570574049).

Almost surely, 23141148097 is an apocalyptic number.

It is an amenable number.

3141148097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3141148097 is an equidigital number, since it uses as much as digits as its factorization.

3141148097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 3141148097 is about 56045.9463030111. The cubic root of 3141148097 is about 1464.5228010863.

It can be divided in two parts, 314 and 1148097, that added together give a palindrome (1148411).

The spelling of 3141148097 in words is "three billion, one hundred forty-one million, one hundred forty-eight thousand, ninety-seven".