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301430313401 = 7214094365961
BaseRepresentation
bin1000110001011101010…
…01011001000110111001
31001211001012022110212112
410120232221121012321
514414312130012101
6350250345422105
730530503250300
oct4305651310671
91054035273775
10301430313401
1110692160a998
124a50449a935
132256a261bb9
14108370a5437
157c930406bb
hex462ea591b9

301430313401 has 12 divisors (see below), whose sum is σ = 350892365940. Its totient is φ = 258185410560.

The previous prime is 301430313337. The next prime is 301430313413. The reversal of 301430313401 is 104313034103.

It can be written as a sum of positive squares in 2 ways, for example, as 10667791225 + 290762522176 = 103285^2 + 539224^2 .

It is not a de Polignac number, because 301430313401 - 26 = 301430313337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (301430313421) 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 in 11 ways as a sum of consecutive naturals, for example, 2113940 + ... + 2252021.

It is an arithmetic number, because the mean of its divisors is an integer number (29241030495).

Almost surely, 2301430313401 is an apocalyptic number.

It is an amenable number.

301430313401 is a deficient number, since it is larger than the sum of its proper divisors (49462052539).

301430313401 is a wasteful number, since it uses less digits than its factorization.

301430313401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367384 (or 4367377 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 301430313401 its reverse (104313034103), we get a palindrome (405743347504).

The spelling of 301430313401 in words is "three hundred one billion, four hundred thirty million, three hundred thirteen thousand, four hundred one".

Divisors: 1 7 49 1409 9863 69041 4365961 30561727 213932089 6151639049 43061473343 301430313401