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20211121220220 = 22325742433780479
BaseRepresentation
bin1001001100001110001001…
…01100110110101001111100
32122120011102210021201021100
410212013010230312221330
510122114334013021340
6110552505542333100
74154130265544310
oct446070454665174
978504383251240
1020211121220220
116492541031627
12232507372a190
13b37b92690998
144dc31b365b40
15250b0e841830
hex1261c4b36a7c

20211121220220 has 144 divisors (see below), whose sum is σ = 70081751900160. Its totient is φ = 4618594850688.

The previous prime is 20211121220189. The next prime is 20211121220233. The reversal of 20211121220220 is 2202212111202.

It is a happy number.

20211121220220 is a `hidden beast` number, since 2 + 0 + 211 + 1 + 212 + 20 + 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 = 20211121220193 and 20211121220202.

It is a congruent number.

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, 3455941 + ... + 7236419.

It is an arithmetic number, because the mean of its divisors is an integer number (486678832640).

Almost surely, 220211121220220 is an apocalyptic number.

20211121220220 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 20211121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35040875950080).

20211121220220 is an abundant number, since it is smaller than the sum of its proper divisors (49870630679940).

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

20211121220220 is a wasteful number, since it uses less digits than its factorization.

20211121220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784744 (or 3784739 counting only the distinct ones).

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

Adding to 20211121220220 its reverse (2202212111202), we get a palindrome (22413333331422).

The spelling of 20211121220220 in words is "twenty trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty 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 4243 8486 12729 16972 21215 25458 29701 38187 42430 50916 59402 63645 76374 84860 89103 118804 127290 148505 152748 178206 190935 254580 267309 297010 356412 381870 445515 534618 594020 763740 891030 1069236 1336545 1782060 2673090 3780479 5346180 7560958 11341437 15121916 18902395 22682874 26463353 34024311 37804790 45365748 52926706 56707185 68048622 75609580 79390059 105853412 113414370 132316765 136097244 158780118 170121555 226828740 238170177 264633530 317560236 340243110 396950295 476340354 529267060 680486220 793900590 952680708 1190850885 1587801180 2381701770 4763403540 16040572397 32081144794 48121717191 64162289588 80202861985 96243434382 112284006779 144365151573 160405723970 192486868764 224568013558 240608585955 288730303146 320811447940 336852020337 449136027116 481217171910 561420033895 577460606292 673704040674 721825757865 962434343820 1010556061011 1122840067790 1347408081348 1443651515730 1684260101685 2021112122022 2245680135580 2887303031460 3368520203370 4042224244044 5052780305055 6737040406740 10105560610110 20211121220220