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211211211121020 = 2232511217014915549
BaseRepresentation
bin110000000001100001110001…
…001101100010000101111100
31000200211121001110021101012200
4300001201301031202011330
5210140441030021333040
62025113031344231500
762326335464434155
oct6001416115420574
91020747043241180
10211211211121020
116133119845a630
121b83219330b590
1390b11935a8906
143a2296a1c692c
15196414d061630
hexc0187136217c

211211211121020 has 144 divisors (see below), whose sum is σ = 698949447487200. Its totient is φ = 51200347968000.

The previous prime is 211211211120989. The next prime is 211211211121037. The reversal of 211211211121020 is 20121112112112.

It is a happy number.

211211211121020 is a `hidden beast` number, since 2 + 11 + 211 + 211 + 1 + 210 + 20 = 666.

It is a super-2 number, since 2×2112112111210202 (a number of 29 digits) contains 22 as substring.

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 = 211211211120984 and 211211211121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40510206 + ... + 45425754.

It is an arithmetic number, because the mean of its divisors is an integer number (4853815607550).

Almost surely, 2211211211121020 is an apocalyptic number.

211211211121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211211121020 is an abundant number, since it is smaller than the sum of its proper divisors (487738236366180).

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

211211211121020 is a wasteful number, since it uses less digits than its factorization.

211211211121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937276 (or 4937271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211211211121020 its reverse (20121112112112), we get a palindrome (231332323233132).

The spelling of 211211211121020 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21701 43402 65103 86804 108505 130206 195309 217010 238711 260412 325515 390618 434020 477422 651030 716133 781236 954844 976545 1193555 1302060 1432266 1953090 2148399 2387110 2864532 3580665 3906180 4296798 4774220 4915549 7161330 8593596 9831098 10741995 14322660 14746647 19662196 21483990 24577745 29493294 42967980 44239941 49155490 54071039 58986588 73733235 88479882 98310980 108142078 147466470 162213117 176959764 216284156 221199705 270355195 294932940 324426234 442399410 486639351 540710390 648852468 811065585 884798820 973278702 1081420780 1622131170 1946557404 2433196755 3244262340 4866393510 9732787020 106672328849 213344657698 320016986547 426689315396 533361644245 640033973094 960050959641 1066723288490 1173395617339 1280067946188 1600084932735 1920101919282 2133446576980 2346791234678 3200169865470 3520186852017 3840203838564 4693582469356 4800254798205 5866978086695 6400339730940 7040373704034 9600509596410 10560560556051 11733956173390 14080747408068 17600934260085 19201019192820 21121121112102 23467912346780 35201868520170 42242242224204 52802802780255 70403737040340 105605605560510 211211211121020