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3141412434131 is a prime number
BaseRepresentation
bin101101101101101010110…
…001011011000011010011
3102010022112102201020120112
4231231222301123003103
5402432103040343011
610403051150431535
7442650062054126
oct55555261330323
912108472636515
103141412434131
1110012a1471554
124289b08025ab
1319a306c0512a
14ac08bd523bd
1556aae46458b
hex2db6ac5b0d3

3141412434131 has 2 divisors, whose sum is σ = 3141412434132. Its totient is φ = 3141412434130.

The previous prime is 3141412434119. The next prime is 3141412434143. The reversal of 3141412434131 is 1314342141413.

It is a happy number.

3141412434131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3141412434119) and next prime (3141412434143).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3141412434131 is a prime.

It is a super-2 number, since 2×31414124341312 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (3141412434151) 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, 1570706217065 + 1570706217066.

It is an arithmetic number, because the mean of its divisors is an integer number (1570706217066).

Almost surely, 23141412434131 is an apocalyptic number.

3141412434131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3141412434131 is an equidigital number, since it uses as much as digits as its factorization.

3141412434131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

Adding to 3141412434131 its reverse (1314342141413), we get a palindrome (4455754575544).

The spelling of 3141412434131 in words is "three trillion, one hundred forty-one billion, four hundred twelve million, four hundred thirty-four thousand, one hundred thirty-one".