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301300431311 = 11175209309317
BaseRepresentation
bin1000110001001101110…
…01111011100111001111
31001210201010220210010202
410120212321323213033
514414030402300221
6350225425524115
730524335260305
oct4304671734717
91053633823122
10301300431311
11106865269620
124a488aa363b
1322549387ca9
1410823b36275
157c86936d0b
hex4626e7b9cf

301300431311 has 16 divisors (see below), whose sum is σ = 348094104480. Its totient is φ = 257746836480.

The previous prime is 301300431301. The next prime is 301300431329. The reversal of 301300431311 is 113134003103.

It is a cyclic number.

It is not a de Polignac number, because 301300431311 - 214 = 301300414927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301300431301) 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 in 15 ways as a sum of consecutive naturals, for example, 819425 + ... + 1128741.

It is an arithmetic number, because the mean of its divisors is an integer number (21755881530).

Almost surely, 2301300431311 is an apocalyptic number.

301300431311 is a deficient number, since it is larger than the sum of its proper divisors (46793673169).

301300431311 is a wasteful number, since it uses less digits than its factorization.

301300431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314554.

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

Adding to 301300431311 its reverse (113134003103), we get a palindrome (414434434414).

The spelling of 301300431311 in words is "three hundred one billion, three hundred million, four hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 17 187 5209 57299 88553 309317 974083 3402487 5258389 57842279 1611232253 17723554783 27390948301 301300431311