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301432234103 = 72111325956087
BaseRepresentation
bin1000110001011101100…
…00101110000001110111
31001211001022221001120122
410120232300232001313
514414313122442403
6350250454522155
730530525500100
oct4305660560167
91054038831518
10301432234103
11106922701a50
124a50506635b
132256a785200
14108374453a7
157c932be838
hex462ec2e077

301432234103 has 72 divisors (see below), whose sum is σ = 421238828160. Its totient is φ = 213135773760.

The previous prime is 301432234073. The next prime is 301432234127.

301432234103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 301432234103 - 26 = 301432234039 is a prime.

It is a super-2 number, since 2×3014322341032 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301432234183) 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 71 ways as a sum of consecutive naturals, for example, 5346326 + ... + 5402412.

It is an arithmetic number, because the mean of its divisors is an integer number (5850539280).

Almost surely, 2301432234103 is an apocalyptic number.

301432234103 is a deficient number, since it is larger than the sum of its proper divisors (119806594057).

301432234103 is a wasteful number, since it uses less digits than its factorization.

301432234103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56197 (or 56177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 301432 and 234103, that added together give a palindrome (535535).

The spelling of 301432234103 in words is "three hundred one billion, four hundred thirty-two million, two hundred thirty-four thousand, one hundred three".

Divisors: 1 7 11 13 49 59 77 91 143 169 413 539 637 649 767 1001 1183 1859 2891 4543 5369 7007 8281 8437 9971 13013 31801 37583 56087 59059 69797 91091 109681 392609 413413 488579 616957 729131 767767 2748263 3309133 4318699 5103917 5374369 8020441 9478703 23163931 30230893 35727419 36400463 43018729 56143087 66350921 104265733 162147517 254803241 301131103 393001609 464456447 473206019 559243477 729860131 1783622687 2107917721 3312442133 3914704339 5109020917 6151678247 23187094931 27402930373 43061747729 301432234103