Search a number
-
+
212210220022020 = 2232511581091844411
BaseRepresentation
bin110000010000000100001010…
…110010000011100100000100
31000211101002200002202202110100
4300100010022302003210010
5210303323012311201040
62031200010152124100
762461453036123563
oct6020041262034404
91024332602682410
10212210220022020
1161686937991140
121b973919396630
13915445143282c
143a5905ab5bbda
15198011c7a3b30
hexc1010ac83904

212210220022020 has 144 divisors (see below), whose sum is σ = 702235375208640. Its totient is φ = 51443988614400.

The previous prime is 212210220022001. The next prime is 212210220022063. The reversal of 212210220022020 is 20220022012212.

212210220022020 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 2 + 200 + 220 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212210220021984 and 212210220022002.

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, 114133615 + ... + 115978025.

It is an arithmetic number, because the mean of its divisors is an integer number (4876634550060).

Almost surely, 2212210220022020 is an apocalyptic number.

212210220022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210220022020 is an abundant number, since it is smaller than the sum of its proper divisors (490025155186620).

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

212210220022020 is a wasteful number, since it uses less digits than its factorization.

212210220022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902546 (or 1902541 counting only the distinct ones).

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

Adding to 212210220022020 its reverse (20220022012212), we get a palindrome (232430242034232).

It can be divided in two parts, 2122102 and 20022020, that added together give a palindrome (22144122).

The spelling of 212210220022020 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 58109 116218 174327 232436 290545 348654 522981 581090 639199 697308 871635 1045962 1162180 1278398 1743270 1844411 1917597 2091924 2556796 2614905 3195995 3486540 3688822 3835194 5229810 5533233 5752791 6391990 7377644 7670388 9222055 9587985 10459620 11066466 11505582 12783980 16599699 18444110 19175970 20288521 22132932 23011164 27666165 28763955 33199398 36888220 38351940 40577042 55332330 57527910 60865563 66398796 81154084 82998495 101442605 110664660 115055820 121731126 165996990 182596689 202885210 243462252 304327815 331993980 365193378 405770420 608655630 730386756 912983445 1217311260 1825966890 3651933780 107176878799 214353757598 321530636397 428707515196 535884393995 643061272794 964591909191 1071768787990 1178945666789 1286122545588 1607653181985 1929183818382 2143537575980 2357891333578 3215306363970 3536837000367 3858367636764 4715782667156 4822959545955 5894728333945 6430612727940 7073674000734 9645919091910 10610511001101 11789456667890 14147348001468 17684185001835 19291838183820 21221022002202 23578913335780 35368370003670 42442044004404 53052555005505 70736740007340 106105110011010 212210220022020