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212331032310 = 2351916321110831
BaseRepresentation
bin1100010110111111101…
…0100110111011110110
3202022001201022000210210
43011233322212323312
511434323221013220
6241313222530250
721224521665345
oct3055772467366
9668051260723
10212331032310
118205a3722a1
1235199296986
131703ac285b7
14a3c3a6db5c
1557cacd36e0
hex316fea6ef6

212331032310 has 128 divisors (see below), whose sum is σ = 542314045440. Its totient is φ = 53054870400.

The previous prime is 212331032293. The next prime is 212331032311. The reversal of 212331032310 is 13230133212.

It is a super-2 number, since 2×2123310323102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212331032311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19598595 + ... + 19609425.

It is an arithmetic number, because the mean of its divisors is an integer number (4236828480).

Almost surely, 2212331032310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271157022720).

212331032310 is an abundant number, since it is smaller than the sum of its proper divisors (329983013130).

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

212331032310 is a wasteful number, since it uses less digits than its factorization.

212331032310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212331032310 its reverse (13230133212), we get a palindrome (225561165522).

The spelling of 212331032310 in words is "two hundred twelve billion, three hundred thirty-one million, thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 163 190 211 285 326 422 489 570 633 815 978 1055 1266 1630 2110 2445 3097 3165 4009 4890 6194 6330 8018 9291 10831 12027 15485 18582 20045 21662 24054 30970 32493 34393 40090 46455 54155 60135 64986 68786 92910 103179 108310 120270 162465 171965 205789 206358 324930 343930 411578 515895 617367 653467 1028945 1031790 1234734 1306934 1765453 1960401 2057890 2285341 3086835 3267335 3530906 3920802 4570682 5296359 6173670 6534670 6856023 8827265 9802005 10592718 11426705 13712046 17654530 19604010 22853410 26481795 33543607 34280115 43421479 52963590 67087214 68560230 86842958 100630821 130264437 167718035 201261642 217107395 260528874 335436070 372510583 434214790 503154105 651322185 745021166 1006308210 1117531749 1302644370 1862552915 2235063498 3725105830 5587658745 7077701077 11175317490 14155402154 21233103231 35388505385 42466206462 70777010770 106165516155 212331032310