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202220021212112 = 242915731114536143
BaseRepresentation
bin101101111110101100000100…
…100001111110001111010000
3222112000001012222012112211102
4231332230010201332033100
5203001133100412241422
61554030332324403532
760410625432261431
oct5576540441761720
9875001188175742
10202220021212112
1159485036122322
121a81b717b465a8
1388ab35ca36097
1437d17035dd488
15185a31804c192
hexb7eb0487e3d0

202220021212112 has 160 divisors (see below), whose sum is σ = 409553124065280. Its totient is φ = 96607476725760.

The previous prime is 202220021212091. The next prime is 202220021212301. The reversal of 202220021212112 is 211212120022202.

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, 32918769713 + ... + 32918775855.

It is an arithmetic number, because the mean of its divisors is an integer number (2559707025408).

Almost surely, 2202220021212112 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 202220021212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204776562032640).

202220021212112 is an abundant number, since it is smaller than the sum of its proper divisors (207333102853168).

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

202220021212112 is a wasteful number, since it uses less digits than its factorization.

202220021212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202220021212112 its reverse (211212120022202), we get a palindrome (413432141234314).

The spelling of 202220021212112 in words is "two hundred two trillion, two hundred twenty billion, twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 157 232 311 314 464 622 628 1244 1256 1453 2488 2512 2906 4553 4976 5812 6143 9019 9106 11624 12286 18038 18212 23248 24572 36076 36424 42137 48827 49144 72152 72848 84274 97654 98288 144304 168548 178147 195308 228121 337096 356294 390616 451883 456242 674192 712588 781232 903766 912484 964451 1415983 1425176 1807532 1824968 1910473 1928902 2831966 2850352 3615064 3649936 3820946 3857804 5663932 6615509 7230128 7641892 7715608 8925779 11327864 13104607 13231018 15283784 15431216 17851558 22655728 26209214 26462036 27969079 30567568 35703116 52418428 52924072 55403717 55938158 70945631 71406232 104836856 105848144 110807434 111876316 141891262 142812464 209673712 221614868 223752632 258847591 283782524 299944261 443229736 447505264 517695182 567565048 599888522 886459472 1035390364 1135130096 1199777044 1401347303 2057423299 2070780728 2399554088 2775917269 2802694606 4114846598 4141561456 4799108176 5551834538 5605389212 8229693196 8698383569 11103669076 11210778424 16459386392 17396767138 22207338152 22421556848 32918772784 34793534276 40639071787 44414676304 69587068552 80501600801 81278143574 139174137104 161003201602 162556287148 322006403204 325112574296 435819011233 644012806408 650225148592 871638022466 1288025612816 1743276044932 3486552089864 6973104179728 12638751325757 25277502651514 50555005303028 101110010606056 202220021212112