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201022012212 = 223718191914387
BaseRepresentation
bin1011101100110111011…
…0000111101100110100
3201012212120101021200120
42323031312013230310
511243143113342322
6232203115211540
720344340624310
oct2731566075464
9635776337616
10201022012212
117828675a09a
1232b61a46bb0
1315c57c95628
149a2db1cb40
155368052a5c
hex2ecdd87b34

201022012212 has 96 divisors (see below), whose sum is σ = 539644385280. Its totient is φ = 57051423360.

The previous prime is 201022012193. The next prime is 201022012259. The reversal of 201022012212 is 212210220102.

201022012212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010220122122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201022012191 and 201022012200.

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, 13965283 + ... + 13979669.

It is an arithmetic number, because the mean of its divisors is an integer number (5621295680).

Almost surely, 2201022012212 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 201022012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269822192640).

201022012212 is an abundant number, since it is smaller than the sum of its proper divisors (338622373068).

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

201022012212 is a wasteful number, since it uses less digits than its factorization.

201022012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15501 (or 15499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201022012212 its reverse (212210220102), we get a palindrome (413232232314).

The spelling of 201022012212 in words is "two hundred one billion, twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 919 1086 1267 1838 2172 2534 2757 3676 3801 5068 5514 6433 7602 11028 12866 14387 15204 19299 25732 28774 38598 43161 57548 77196 86322 100709 166339 172644 201418 302127 332678 402836 499017 604254 665356 998034 1164373 1208508 1996068 2328746 2604047 3493119 4657492 5208094 6986238 7812141 10416188 13221653 13972476 15624282 18228329 26443306 31248564 36456658 39664959 52886612 54684987 72913316 79329918 92551571 109369974 158659836 185103142 218739948 277654713 370206284 555309426 1110618852 2393119193 4786238386 7179357579 9572476772 14358715158 16751834351 28717430316 33503668702 50255503053 67007337404 100511006106 201022012212