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320343222343023 = 32112682743088141
BaseRepresentation
bin100100011010110011011011…
…1111110010101010101101111
31120000020111211221210122101100
41020311212313332111111233
5313442000404404434043
63053151351132214143
7124322014452343245
oct11065466776252557
91500214757718340
10320343222343023
1193086885755900
122bb187b500a353
131099930c05c249
1459169a2326795
152707ce06edcd3
hex12359b7f9556f

320343222343023 has 36 divisors (see below), whose sum is σ = 508681886252904. Its totient is φ = 194118964802400.

The previous prime is 320343222342989. The next prime is 320343222343061.

320343222343023 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 4 + 322 + 23 + 4 + 302 + 3 = 666.

320343222343023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320343222343023 - 213 = 320343222334831 is a prime.

It is a super-2 number, since 2×3203432223430232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320343222343063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14109468 + ... + 28978673.

It is an arithmetic number, because the mean of its divisors is an integer number (14130052395914).

Almost surely, 2320343222343023 is an apocalyptic number.

320343222343023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320343222343023 is a deficient number, since it is larger than the sum of its proper divisors (188338663909881).

320343222343023 is a wasteful number, since it uses less digits than its factorization.

320343222343023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43094996 (or 43094982 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

The spelling of 320343222343023 in words is "three hundred twenty trillion, three hundred forty-three billion, two hundred twenty-two million, three hundred forty-three thousand, twenty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 6827 20481 61443 75097 225291 675873 826067 2478201 7434603 43088141 129264423 387793269 473969551 1421908653 4265725959 5213665061 15640995183 46922985549 294162738607 882488215821 2647464647463 3235790124677 9707370374031 29122111122093 35593691371447 106781074114341 320343222343023