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1311630400141 is a prime number
BaseRepresentation
bin10011000101100011010…
…000111001101010001101
311122101112202222222212221
4103011203100321222031
5132442204340301031
62442315451255341
7163522265306455
oct23054320715215
94571482888787
101311630400141
11466294191a36
1219225244a551
13968bc802809
14476aa076d65
15241b9ed9a11
hex13163439a8d

1311630400141 has 2 divisors, whose sum is σ = 1311630400142. Its totient is φ = 1311630400140.

The previous prime is 1311630400117. The next prime is 1311630400151. The reversal of 1311630400141 is 1410040361131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 838224478116 + 473405922025 = 915546^2 + 688045^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311630400141 - 27 = 1311630400013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311630400151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655815200070 + 655815200071.

It is an arithmetic number, because the mean of its divisors is an integer number (655815200071).

Almost surely, 21311630400141 is an apocalyptic number.

It is an amenable number.

1311630400141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311630400141 is an equidigital number, since it uses as much as digits as its factorization.

1311630400141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1311630400141 its reverse (1410040361131), we get a palindrome (2721670761272).

The spelling of 1311630400141 in words is "one trillion, three hundred eleven billion, six hundred thirty million, four hundred thousand, one hundred forty-one".