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221322121332130 = 257213131265224779
BaseRepresentation
bin110010010100101010010010…
…011011000100010110100010
31002000122012002011122010022201
4302110222102123010112202
5213002120201030112010
62102413551240123414
764421665326256600
oct6224522233042642
91060565064563281
10221322121332130
116457a2036aa845
12209a586276656a
139665781691390
143c92095352870
151a8c169e4423a
hexc94a926c45a2

221322121332130 has 96 divisors (see below), whose sum is σ = 502878913669440. Its totient is φ = 69510109818240.

The previous prime is 221322121332107. The next prime is 221322121332157. The reversal of 221322121332130 is 31233121223122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131777920 + ... + 133446859.

It is an arithmetic number, because the mean of its divisors is an integer number (5238322017390).

Almost surely, 2221322121332130 is an apocalyptic number.

221322121332130 is an abundant number, since it is smaller than the sum of its proper divisors (281556792337310).

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

221322121332130 is a wasteful number, since it uses less digits than its factorization.

221322121332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265224944 (or 265224937 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 221322121332130 its reverse (31233121223122), we get a palindrome (252555242555252).

The spelling of 221322121332130 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 131 182 245 262 455 490 637 655 910 917 1274 1310 1703 1834 3185 3406 4585 6370 6419 8515 9170 11921 12838 17030 23842 32095 59605 64190 83447 119210 166894 417235 834470 265224779 530449558 1326123895 1856573453 2652247790 3447922127 3713146906 6895844254 9282867265 12996014171 17239610635 18565734530 24135454889 25992028342 34479221270 34744446049 48270909778 64980070855 69488892098 120677274445 129960141710 168948184223 173722230245 241354548890 243211122343 337896368446 347444460490 451677798637 486422244686 844740921115 903355597274 1216055611715 1689481842230 1702477856401 2258388993185 2432111223430 3161744590459 3404955712802 4516777986370 6323489180918 8512389282005 15808722952295 17024778564010 22132212133213 31617445904590 44264424266426 110661060666065 221322121332130