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210200221212120 = 233251921617422447
BaseRepresentation
bin101111110010110100001101…
…100001000101110111011000
31000120020221111211101201212200
4233302310031201011313120
5210022410023112241440
62023020352030010200
762163315302131326
oct5762641541056730
91016227454351780
10210200221212120
1160a8145aa694a7
121b6aa264946960
139039a465098c9
1439c9a60378d16
151947bcbaa0c30
hexbf2d0d845dd8

210200221212120 has 144 divisors (see below), whose sum is σ = 720998404644960. Its totient is φ = 53103213747072.

The previous prime is 210200221212067. The next prime is 210200221212133. The reversal of 210200221212120 is 21212122002012.

It is a happy number.

210200221212120 is a `hidden beast` number, since 2 + 10 + 200 + 221 + 21 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210200221212093 and 210200221212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 808581264 + ... + 808841183.

It is an arithmetic number, because the mean of its divisors is an integer number (5006933365590).

Almost surely, 2210200221212120 is an apocalyptic number.

210200221212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200221212120 is an abundant number, since it is smaller than the sum of its proper divisors (510798183432840).

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

210200221212120 is a wasteful number, since it uses less digits than its factorization.

210200221212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617422502 (or 1617422476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210200221212120 its reverse (21212122002012), we get a palindrome (231412343214132).

The spelling of 210200221212120 in words is "two hundred ten trillion, two hundred billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 361 380 456 570 684 722 760 855 1083 1140 1368 1444 1710 1805 2166 2280 2888 3249 3420 3610 4332 5415 6498 6840 7220 8664 10830 12996 14440 16245 21660 25992 32490 43320 64980 129960 1617422447 3234844894 4852267341 6469689788 8087112235 9704534682 12939379576 14556802023 16174224470 19409069364 24261336705 29113604046 30731026493 32348448940 38818138728 48522673410 58227208092 61462052986 64696897880 72784010115 92193079479 97045346820 116454416184 122924105972 145568020230 153655132465 184386158958 194090693640 245848211944 276579238437 291136040460 307310264930 368772317916 460965397395 553158476874 582272080920 583889503367 614620529860 737544635832 921930794790 1106316953748 1167779006734 1229241059720 1382896192185 1751668510101 1843861589580 2212633907496 2335558013468 2765792384370 2919447516835 3503337020202 3687723179160 4671116026936 5255005530303 5531584768740 5838895033670 7006674040404 8758342550505 10510011060606 11063169537480 11677790067340 14013348080808 17516685101010 21020022121212 23355580134680 26275027651515 35033370202020 42040044242424 52550055303030 70066740404040 105100110606060 210200221212120