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212000102021112 = 233173675772453771
BaseRepresentation
bin110000001101000000011110…
…110001011111011111111000
31000210122000022121200101000120
4300031000132301133133320
5210241402202104133422
62030515300302133240
762440334105440626
oct6015003661373770
91023560277611016
10212000102021112
116160581383a119
121b93b059281220
13913a6a6b4c192
143a4cc06d9c516
151979920e1345c
hexc0d01ec5f7f8

212000102021112 has 128 divisors (see below), whose sum is σ = 563681289047040. Its totient is φ = 66213628968960.

The previous prime is 212000102021093. The next prime is 212000102021161. The reversal of 212000102021112 is 211120201000212.

It is a junction number, because it is equal to n+sod(n) for n = 212000102021091 and 212000102021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85170787 + ... + 87624557.

It is an arithmetic number, because the mean of its divisors is an integer number (4403760070680).

Almost surely, 2212000102021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000102021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281840644523520).

212000102021112 is an abundant number, since it is smaller than the sum of its proper divisors (351681187025928).

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

212000102021112 is a wasteful number, since it uses less digits than its factorization.

212000102021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454741 (or 2454737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212000102021112 its reverse (211120201000212), we get a palindrome (423120303021324).

The spelling of 212000102021112 in words is "two hundred twelve trillion, one hundred two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 367 408 577 734 1101 1154 1468 1731 2202 2308 2936 3462 4404 4616 6239 6924 8808 9809 12478 13848 18717 19618 24956 29427 37434 39236 49912 58854 74868 78472 117708 149736 211759 235416 423518 635277 847036 1270554 1694072 2453771 2541108 3599903 4907542 5082216 7199806 7361313 9815084 10799709 14399612 14722626 19630168 21599418 28799224 29445252 41714107 43198836 58890504 83428214 86397672 125142321 166856428 250284642 333712856 500569284 900533957 1001138568 1415825867 1801067914 2701601871 2831651734 3602135828 4247477601 5403203742 5663303468 7204271656 8494955202 10806407484 11326606936 15309077269 16989910404 21612814968 24069039739 30618154538 33979820808 45927231807 48138079478 61236309076 72207119217 91854463614 96276158956 122472618152 144414238434 183708927228 192552317912 288828476868 367417854456 519608093189 577656953736 1039216186378 1558824279567 2078432372756 3117648559134 4156864745512 6235297118268 8833337584213 12470594236536 17666675168426 26500012752639 35333350336852 53000025505278 70666700673704 106000051010556 212000102021112