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320010011321 = 7111317315471109
BaseRepresentation
bin1001010100000100001…
…01010100001010111001
31010121000001021220221112
410222002011110022321
520220340030330241
6403002141050105
732056101133640
oct4520205241271
91117001256845
10320010011321
11113796343a40
125202a856935
132423b6002b0
14116ba8b2357
1584ce2561eb
hex4a821542b9

320010011321 has 128 divisors (see below), whose sum is σ = 470896312320. Its totient is φ = 209076940800.

The previous prime is 320010011317. The next prime is 320010011329. The reversal of 320010011321 is 123110010023.

It is not a de Polignac number, because 320010011321 - 22 = 320010011317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320010011296 and 320010011305.

It is not an unprimeable number, because it can be changed into a prime (320010011329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288556715 + ... + 288557823.

It is an arithmetic number, because the mean of its divisors is an integer number (3678877440).

Almost surely, 2320010011321 is an apocalyptic number.

320010011321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

320010011321 is a deficient number, since it is larger than the sum of its proper divisors (150886300999).

320010011321 is a wasteful number, since it uses less digits than its factorization.

320010011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 320010011321 its reverse (123110010023), we get a palindrome (443120021344).

The spelling of 320010011321 in words is "three hundred twenty billion, ten million, eleven thousand, three hundred twenty-one".

Divisors: 1 7 11 13 17 31 77 91 119 143 187 217 221 341 403 527 547 1001 1109 1309 1547 2387 2431 2821 3689 3829 4433 5797 6017 6851 7111 7763 9299 12199 14417 16957 17017 18853 31031 34379 40579 42119 47957 49777 65093 75361 78221 85393 100919 102289 118699 120887 131971 158587 186527 207383 220441 240653 245089 288269 378169 446927 527527 547547 584443 606623 716023 846209 1110109 1305689 1329757 1451681 1543087 1715623 2017883 2424851 2647183 2695979 3128489 3170959 3747497 4091101 4246361 4916197 6428873 6672853 7597759 7886099 9308299 10312591 16973957 18805313 18871853 22196713 26232479 34413379 41222467 45002111 46709971 53184313 55202693 72188137 83575349 86747089 113438501 131637191 134063683 206858443 244469069 288557269 319690321 585027443 607229623 794069507 938445781 1448009101 1474700513 1711283483 2237832247 2689159759 3516593531 4155974173 10322903591 18824118313 24616154717 29091819211 45715715903 320010011321