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330040100414022 = 23171928963122601
BaseRepresentation
bin100101100001010110111001…
…0111100100110001001000110
31121021120112012001122102222120
41023002231302330212021012
5321224334111201222042
63125534155022310410
7126342416234105325
oct11302556274461106
91537515161572876
10330040100414022
1196185247613109
1231023b95a28406
13112208566536ab
145b7005184c0bc
152825178d56dec
hex12c2b72f26246

330040100414022 has 48 divisors (see below), whose sum is σ = 737629137654192. Its totient is φ = 98092413734400.

The previous prime is 330040100413981. The next prime is 330040100414051. The reversal of 330040100414022 is 220414001040033.

It is a junction number, because it is equal to n+sod(n) for n = 330040100413983 and 330040100414001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4481524479 + ... + 4481598122.

It is an arithmetic number, because the mean of its divisors is an integer number (15367273701129).

Almost surely, 2330040100414022 is an apocalyptic number.

330040100414022 is an abundant number, since it is smaller than the sum of its proper divisors (407589037240170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330040100414022 is a wasteful number, since it uses less digits than its factorization.

330040100414022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963122661 (or 8963122642 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 330040100414022 its reverse (220414001040033), we get a palindrome (550454101454055).

The spelling of 330040100414022 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 361 646 722 969 1083 1938 2166 6137 12274 18411 36822 8963122601 17926245202 26889367803 53778735606 152373084217 170299329419 304746168434 340598658838 457119252651 510897988257 914238505302 1021795976514 2895088600123 3235687258961 5790177200246 6471374517922 8685265800369 9707061776883 17370531600738 19414123553766 55006683402337 110013366804674 165020050207011 330040100414022