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211121011202220 = 223257620392700823
BaseRepresentation
bin110000000000001101110000…
…111000001001100010101100
31000200111222020021012202001100
4300000031300320021202230
5210133001312331432340
62025003353103043100
762316663316662030
oct6000156070114254
91020458207182040
10211121011202220
11612a6a10a01599
121b8187bb5a0490
1390a581a22a2b2
143a1c4509281c0
151961b1e394830
hexc00370e098ac

211121011202220 has 144 divisors (see below), whose sum is σ = 731898240353280. Its totient is φ = 48255435427968.

The previous prime is 211121011202197. The next prime is 211121011202251. The reversal of 211121011202220 is 22202110121112.

211121011202220 is a `hidden beast` number, since 2 + 111 + 210 + 1 + 120 + 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 = 211121011202193 and 211121011202202.

It is an unprimeable number.

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, 76818729 + ... + 79519551.

It is an arithmetic number, because the mean of its divisors is an integer number (5082626669120).

Almost surely, 2211121011202220 is an apocalyptic number.

211121011202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121011202220 is an abundant number, since it is smaller than the sum of its proper divisors (520777229151060).

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

211121011202220 is a wasteful number, since it uses less digits than its factorization.

211121011202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762884 (or 2762879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121011202220 its reverse (22202110121112), we get a palindrome (233323121323332).

The spelling of 211121011202220 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 62039 124078 186117 248156 310195 372234 434273 558351 620390 744468 868546 930585 1116702 1240780 1302819 1737092 1861170 2171365 2233404 2605638 2700823 2791755 3722340 3908457 4342730 5211276 5401646 5583510 6514095 7816914 8102469 8685460 10803292 11167020 13028190 13504115 15633828 16204938 18905761 19542285 24307407 26056380 27008230 32409876 37811522 39084570 40512345 48614814 54016460 56717283 75623044 78169140 81024690 94528805 97229628 113434566 121537035 162049380 170151849 189057610 226869132 243074070 283586415 340303698 378115220 486148140 567172830 680607396 850759245 1134345660 1701518490 3403036980 167556358097 335112716194 502669074291 670225432388 837781790485 1005338148582 1172894506679 1508007222873 1675563580970 2010676297164 2345789013358 2513345371455 3016014445746 3351127161940 3518683520037 4691578026716 5026690742910 5864472533395 6032028891492 7037367040074 7540036114365 10053381485820 10556050560111 11728945066790 14074734080148 15080072228730 17593417600185 21112101120222 23457890133580 30160144457460 35186835200370 42224202240444 52780252800555 70373670400740 105560505601110 211121011202220