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211010201202220 = 22572714861623869
BaseRepresentation
bin101111111110100110100100…
…000101100010111000101100
31000200010101012201122111120021
4233332212210011202320230
5210124142343001432340
62024440425340131524
762305661331345400
oct5776464405427054
91020111181574507
10211010201202220
1161263a186104a2
121b7bb235536ba4
13909823ac88964
143a16d3bd35100
15195dcd60ebe4a
hexbfe9a4162e2c

211010201202220 has 144 divisors (see below), whose sum is σ = 522836259865920. Its totient is φ = 71312604249600.

The previous prime is 211010201202209. The next prime is 211010201202277. The reversal of 211010201202220 is 22202102010112.

It is a happy number.

It is a super-2 number, since 2×2110102012022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211010201202194 and 211010201202203.

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, 337916446 + ... + 338540314.

It is an arithmetic number, because the mean of its divisors is an integer number (3630807360180).

Almost surely, 2211010201202220 is an apocalyptic number.

211010201202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010201202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261418129932960).

211010201202220 is an abundant number, since it is smaller than the sum of its proper divisors (311826058663700).

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

211010201202220 is a wasteful number, since it uses less digits than its factorization.

211010201202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628824 (or 628815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211010201202220 its reverse (22202102010112), we get a palindrome (233212303212332).

The spelling of 211010201202220 in words is "two hundred eleven trillion, ten billion, two hundred one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4861 4970 6958 9722 9940 13916 17395 19444 24305 34027 34790 48610 68054 69580 97220 136108 170135 238189 340270 345131 476378 623869 680540 690262 952756 1190945 1247738 1380524 1725655 2381890 2415917 2495476 3119345 3451310 4367083 4763780 4831834 6238690 6902620 8734166 9663668 12079585 12477380 16911419 17468332 21835415 24159170 30569581 33822838 43670830 44294699 48318340 61139162 67645676 84557095 87341660 88589398 122278324 152847905 169114190 177178796 221473495 305695810 310062893 338228380 442946990 611391620 620125786 885893980 1240251572 1550314465 2170440251 3032627209 3100628930 4340880502 6065254418 6201257860 8681761004 10852201255 12130508836 15163136045 21228390463 21704402510 30326272090 42456780926 43408805020 60652544180 84913561852 106141952315 148598733241 212283904630 215316531839 297197466482 424567809260 430633063678 594394932964 742993666205 861266127356 1076582659195 1485987332410 1507215722873 2153165318390 2971974664820 3014431445746 4306330636780 6028862891492 7536078614365 10550510060111 15072157228730 21101020120222 30144314457460 42202040240444 52752550300555 105505100601110 211010201202220