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210021212102220 = 2232519269228288889
BaseRepresentation
bin101111110000001101011111…
…101111100001111001001100
31000112121211110101011202022100
4233300031133233201321030
5210011441420244232340
62022402225103315100
762144350264610541
oct5760153757417114
91015554411152270
10210021212102220
1160a1254aa98762
121b67b626baba90
139025bb8c62b7c
1439c111bdd8bc8
151943201379830
hexbf035fbe1e4c

210021212102220 has 144 divisors (see below), whose sum is σ = 673086963276000. Its totient is φ = 52860748594176.

The previous prime is 210021212102203. The next prime is 210021212102297. The reversal of 210021212102220 is 22201212120012.

It is a happy number.

210021212102220 is a `hidden beast` number, since 21 + 0 + 0 + 212 + 1 + 210 + 2 + 220 = 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 = 210021212102193 and 210021212102202.

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, 113224465 + ... + 115064424.

It is an arithmetic number, because the mean of its divisors is an integer number (4674215022750).

Almost surely, 2210021212102220 is an apocalyptic number.

210021212102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021212102220 is an abundant number, since it is smaller than the sum of its proper divisors (463065751173780).

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

210021212102220 is a wasteful number, since it uses less digits than its factorization.

210021212102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228289192 (or 228289187 counting only the distinct ones).

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

Adding to 210021212102220 its reverse (22201212120012), we get a palindrome (232222424222232).

The spelling of 210021212102220 in words is "two hundred ten trillion, twenty-one billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 269 285 342 380 538 570 684 807 855 1076 1140 1345 1614 1710 2421 2690 3228 3420 4035 4842 5111 5380 8070 9684 10222 12105 15333 16140 20444 24210 25555 30666 45999 48420 51110 61332 76665 91998 102220 153330 183996 229995 306660 459990 919980 228288889 456577778 684866667 913155556 1141444445 1369733334 2054600001 2282888890 2739466668 3424333335 4109200002 4337488891 4565777780 6848666670 8218400004 8674977782 10273000005 13012466673 13697333340 17349955564 20546000010 21687444455 26024933346 39037400019 41092000020 43374888910 52049866692 61409711141 65062333365 78074800038 86749777820 122819422282 130124666730 156149600076 184229133423 195187000095 245638844564 260249333460 307048555705 368458266846 390374000190 552687400269 614097111410 736916533692 780748000380 921145667115 1105374800538 1166784511679 1228194222820 1842291334230 2210749601076 2333569023358 2763437001345 3500353535037 3684582668460 4667138046716 5526874002690 5833922558395 7000707070074 10501060605111 11053748005380 11667845116790 14001414140148 17501767675185 21002121210222 23335690233580 35003535350370 42004242420444 52505303025555 70007070700740 105010606051110 210021212102220