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212324142340310 = 257111339753428723
BaseRepresentation
bin110000010001101110010001…
…000101001101100011010110
31000211202222201112201011000012
4300101232101011031203112
5210312204320414342220
62031324210414520222
762502625115631410
oct6021562105154326
91024688645634005
10212324142340310
1161720188088010
121b991a11806072
139162108423020
143a60786c339b0
151983088dc9ac5
hexc11b9114d8d6

212324142340310 has 128 divisors (see below), whose sum is σ = 514433981021184. Its totient is φ = 60934388866560.

The previous prime is 212324142340309. The next prime is 212324142340313. The reversal of 212324142340310 is 13043241423212.

It is a happy number.

It is a super-2 number, since 2×2123241423403102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212324142340313) 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, 22740392 + ... + 30688331.

It is an arithmetic number, because the mean of its divisors is an integer number (4019015476728).

Almost surely, 2212324142340310 is an apocalyptic number.

212324142340310 is an abundant number, since it is smaller than the sum of its proper divisors (302109838680874).

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

212324142340310 is a wasteful number, since it uses less digits than its factorization.

212324142340310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53429158.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 212324142340310 its reverse (13043241423212), we get a palindrome (225367383763522).

The spelling of 212324142340310 in words is "two hundred twelve trillion, three hundred twenty-four billion, one hundred forty-two million, three hundred forty thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 397 455 715 770 794 910 1001 1430 1985 2002 2779 3970 4367 5005 5161 5558 8734 10010 10322 13895 21835 25805 27790 30569 36127 43670 51610 56771 61138 72254 113542 152845 180635 283855 305690 361270 397397 567710 794794 1986985 3973970 53428723 106857446 267143615 374001061 534287230 587715953 694573399 748002122 1175431906 1389146798 1870005305 2938579765 3472866995 3740010610 4114011671 4862013793 5877159530 6945733990 7640307389 8228023342 9724027586 15280614778 20570058355 21211203031 24310068965 38201536945 41140116710 42422406062 48620137930 53482151723 76403073890 106056015155 106964303446 148478421217 212112030310 233323233341 267410758615 275745639403 296956842434 466646466682 534821517230 551491278806 742392106085 1166616166705 1378728197015 1484784212170 1633262633387 1930219475821 2333232333410 2757456394030 3033202033433 3266525266774 3860438951642 6066404066866 8166313166935 9651097379105 15166010167165 16332626333870 19302194758210 21232414234031 30332020334330 42464828468062 106162071170155 212324142340310