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321142260142210 = 25134324513296041
BaseRepresentation
bin100100100000100111100001…
…0010101101001000010000010
31120010001220022021101111222211
41021001033002111221002002
5314043043322044022320
63055002415001252334
7124433522403515143
oct11101170225510202
91503056267344884
10321142260142210
1193364738763911
12300276311940aa
1310a2677b874610
14594352297daca
15271d9a92c955a
hex12413c2569082

321142260142210 has 96 divisors (see below), whose sum is σ = 637479229485168. Its totient is φ = 115791977226240.

The previous prime is 321142260142189. The next prime is 321142260142211. The reversal of 321142260142210 is 12241062241123.

It can be written as a sum of positive squares in 8 ways, for example, as 6555387001801 + 314586873140409 = 2560349^2 + 17736597^2 .

It is not an unprimeable number, because it can be changed into a prime (321142260142211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084641790 + ... + 1084937830.

Almost surely, 2321142260142210 is an apocalyptic number.

321142260142210 is a deficient number, since it is larger than the sum of its proper divisors (316336969342958).

321142260142210 is a wasteful number, since it uses less digits than its factorization.

321142260142210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300660 (or 300617 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 321142260142210 in words is "three hundred twenty-one trillion, one hundred forty-two billion, two hundred sixty million, one hundred forty-two thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 43 65 86 130 215 430 559 1118 1849 2795 3698 4513 5590 9026 9245 18490 22565 24037 45130 48074 58669 117338 120185 194059 240370 293345 296041 388118 586690 592082 970295 1480205 1940590 2522767 2960410 3848533 5045534 7697066 8344537 12613835 12729763 16689074 19242665 25227670 25459526 38485330 41722685 63648815 83445370 108478981 127297630 165486919 216957962 330973838 542394905 547379809 827434595 1084789810 1094759618 1336033033 1654869190 2672066066 2736899045 5473798090 6680165165 7115937517 13360330330 14231875034 17368429429 34736858858 35579687585 57449420419 71159375170 86842147145 114898840838 173684294290 287247102095 574494204190 746842465447 1493684930894 2470325078017 3734212327235 4940650156034 7468424654470 12351625390085 24703250780170 32114226014221 64228452028442 160571130071105 321142260142210