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314031013301 is a prime number
BaseRepresentation
bin1001001000111011011…
…01001111110110110101
31010000120100202100120102
410210131231033312311
520121113414411201
6400132554243445
731454660366555
oct4443555176665
91100510670512
10314031013301
111111a8358265
1250a40426585
13237c79a8a45
14112b07ad165
15827e3bb26b
hex491db4fdb5

314031013301 has 2 divisors, whose sum is σ = 314031013302. Its totient is φ = 314031013300.

The previous prime is 314031013279. The next prime is 314031013363. The reversal of 314031013301 is 103310130413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184276167076 + 129754846225 = 429274^2 + 360215^2 .

It is a cyclic number.

It is not a de Polignac number, because 314031013301 - 210 = 314031012277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314031013001) 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, 157015506650 + 157015506651.

It is an arithmetic number, because the mean of its divisors is an integer number (157015506651).

Almost surely, 2314031013301 is an apocalyptic number.

It is an amenable number.

314031013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

314031013301 is an equidigital number, since it uses as much as digits as its factorization.

314031013301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 314031013301 its reverse (103310130413), we get a palindrome (417341143714).

The spelling of 314031013301 in words is "three hundred fourteen billion, thirty-one million, thirteen thousand, three hundred one".