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212100010212020 = 225721313581461359
BaseRepresentation
bin110000001110011101100001…
…110000111111101010110100
31000210222120012101120022212112
4300032131201300333222310
5210300021310103241040
62031033222145310152
762450501656160300
oct6016354160775264
91023876171508775
10212100010212020
1161644122368737
121b9564a0335358
139146c396253c8
143a539a3b60d00
15197c31c065365
hexc0e761c3fab4

212100010212020 has 144 divisors (see below), whose sum is σ = 522232141052160. Its totient is φ = 72144580435200.

The previous prime is 212100010212001. The next prime is 212100010212043. The reversal of 212100010212020 is 20212010001212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212100010211986 and 212100010212004.

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, 459498101 + ... + 459959459.

It is an arithmetic number, because the mean of its divisors is an integer number (3626612090640).

Almost surely, 2212100010212020 is an apocalyptic number.

212100010212020 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 212100010212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261116070526080).

212100010212020 is an abundant number, since it is smaller than the sum of its proper divisors (310132130840140).

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

212100010212020 is a wasteful number, since it uses less digits than its factorization.

212100010212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465094 (or 465085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100010212020 its reverse (20212010001212), we get a palindrome (232312020213232).

The spelling of 212100010212020 in words is "two hundred twelve trillion, one hundred billion, ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 490 524 655 917 980 1310 1834 2620 3581 3668 4585 6419 7162 9170 12838 14324 17905 18340 25067 25676 32095 35810 50134 64190 71620 100268 125335 128380 175469 250670 350938 461359 469111 501340 701876 877345 922718 938222 1754690 1845436 1876444 2306795 2345555 3229513 3283777 3509380 4613590 4691110 6459026 6567554 9227180 9382220 12918052 13135108 16147565 16418885 22606591 22986439 32295130 32837770 45213182 45972878 60438029 64590260 65675540 90426364 91945756 113032955 114932195 120876058 226065910 229864390 241752116 302190145 423066203 452131820 459728780 604380290 846132406 1208760580 1652126579 1692264812 2115331015 2961463421 3304253158 4230662030 5922926842 6608506316 8260632895 8461324060 11564886053 11845853684 14807317105 16521265790 23129772106 29614634210 33042531580 46259544212 57824430265 59229268420 80954202371 115648860530 161908404742 216428581849 231297721060 323816809484 404771011855 432857163698 809542023710 865714327396 1082142909245 1515000072943 1619084047420 2164285818490 3030000145886 4328571636980 6060000291772 7575000364715 10605000510601 15150000729430 21210001021202 30300001458860 42420002042404 53025002553005 106050005106010 212100010212020