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403640460210313 is a prime number
BaseRepresentation
bin101101111000110111101111…
…0001111110111000010001001
31221221011122120200102002110001
41123301233132033313002021
5410401221130303212223
63550245511215323001
7151010026613101324
oct13361573617670211
91857148520362401
10403640460210313
11107680a599a3807
1239330285520461
131442c1942208b1
14719643414b7bb
15319e9347d09ad
hex16f1bde3f7089

403640460210313 has 2 divisors, whose sum is σ = 403640460210314. Its totient is φ = 403640460210312.

The previous prime is 403640460210311. The next prime is 403640460210329. The reversal of 403640460210313 is 313012064046304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379173310251129 + 24467149959184 = 19472373^2 + 4946428^2 .

It is a cyclic number.

It is not a de Polignac number, because 403640460210313 - 21 = 403640460210311 is a prime.

It is a super-2 number, since 2×4036404602103132 (a number of 30 digits) contains 22 as substring.

Together with 403640460210311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (403640460210311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201820230105156 + 201820230105157.

It is an arithmetic number, because the mean of its divisors is an integer number (201820230105157).

Almost surely, 2403640460210313 is an apocalyptic number.

It is an amenable number.

403640460210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

403640460210313 is an equidigital number, since it uses as much as digits as its factorization.

403640460210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 403640460210313 in words is "four hundred three trillion, six hundred forty billion, four hundred sixty million, two hundred ten thousand, three hundred thirteen".