Search a number
-
+
200012022222012 = 2232711135550339167
BaseRepresentation
bin101101011110100011101101…
…100010010000110010111100
3222020011221222201120012210100
4231132203231202100302330
5202203444110142101022
61545220130551241100
760062251236443460
oct5536435542206274
9866157881505710
10200012022222012
1158803693272720
121a523805679190
13877b08bc04310
1437568c25884a0
15181cb8974e1ac
hexb5e8ed890cbc

200012022222012 has 144 divisors (see below), whose sum is σ = 678828681603072. Its totient is φ = 47954930394240.

The previous prime is 200012022222007. The next prime is 200012022222049. The reversal of 200012022222012 is 210222220210002.

200012022222012 is a `hidden beast` number, since 200 + 0 + 1 + 20 + 222 + 220 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2775133548 + ... + 2775205619.

It is an arithmetic number, because the mean of its divisors is an integer number (4714088066688).

Almost surely, 2200012022222012 is an apocalyptic number.

200012022222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200012022222012 is an abundant number, since it is smaller than the sum of its proper divisors (478816659381060).

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

200012022222012 is a wasteful number, since it uses less digits than its factorization.

200012022222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550339208 (or 5550339203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200012022222012 its reverse (210222220210002), we get a palindrome (410234242432014).

The spelling of 200012022222012 in words is "two hundred trillion, twelve billion, twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 5550339167 11100678334 16651017501 22201356668 33302035002 38852374169 49953052503 61053730837 66604070004 72154409171 77704748338 99906105006 116557122507 122107461674 144308818342 155409496676 183161192511 199812210012 216463227513 233114245014 244214923348 288617636684 349671367521 366322385022 427376115859 432926455026 466228490028 505080864197 549483577533 649389682539 699342735042 732644770044 793698500881 854752231718 865852910052 1010161728394 1098967155066 1282128347577 1298779365078 1398685470084 1515242592591 1587397001762 1709504463436 2020323456788 2197934310132 2381095502643 2564256695154 2597558730156 3030485185182 3174794003524 3846385042731 4545727777773 4762191005286 5128513390308 5555889506167 6060970370364 7143286507929 7692770085462 9091455555546 9524382010572 11111779012334 14286573015858 15385540170924 16667668518501 18182911111092 22223558024668 28573146031716 33335337037002 50003005555503 66670674074004 100006011111006 200012022222012