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313141235837 is a prime number
BaseRepresentation
bin1001000111010001010…
…11000001000001111101
31002221021100110222100112
410203220223001001331
520112303124021322
6355504411235405
731423634405303
oct4435053010175
91087240428315
10313141235837
11110891078291
1250832448b65
13236b55512c1
1411228554273
15822b20d5e2
hex48e8ac107d

313141235837 has 2 divisors, whose sum is σ = 313141235838. Its totient is φ = 313141235836.

The previous prime is 313141235833. The next prime is 313141235873. The reversal of 313141235837 is 738532141313.

Together with next prime (313141235873) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311108488441 + 2032747396 = 557771^2 + 45086^2 .

It is a cyclic number.

It is not a de Polignac number, because 313141235837 - 22 = 313141235833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313141235794 and 313141235803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313141235833) 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, 156570617918 + 156570617919.

It is an arithmetic number, because the mean of its divisors is an integer number (156570617919).

Almost surely, 2313141235837 is an apocalyptic number.

It is an amenable number.

313141235837 is a deficient number, since it is larger than the sum of its proper divisors (1).

313141235837 is an equidigital number, since it uses as much as digits as its factorization.

313141235837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 41.

The spelling of 313141235837 in words is "three hundred thirteen billion, one hundred forty-one million, two hundred thirty-five thousand, eight hundred thirty-seven".