Search a number
-
+
212211022222122 = 2371110113932718229
BaseRepresentation
bin110000010000000100111010…
…100110001101001100101010
31000211101011202000020202010020
4300100010322212031030222
5210303331133142101442
62031200221530101310
762461511646532440
oct6020047246151452
91024334660222106
10212211022222122
1161687209794a30
121b973b01b7a836
13915454b6a5c51
143a590d54dab90
151980167e129ec
hexc1013a98d32a

212211022222122 has 128 divisors (see below), whose sum is σ = 538233205708800. Its totient is φ = 54181385568000.

The previous prime is 212211022222117. The next prime is 212211022222139. The reversal of 212211022222122 is 221222220112212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212211022222092 and 212211022222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9873097 + ... + 22845132.

It is an arithmetic number, because the mean of its divisors is an integer number (4204946919600).

Almost surely, 2212211022222122 is an apocalyptic number.

212211022222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212211022222122 is an abundant number, since it is smaller than the sum of its proper divisors (326022183486678).

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

212211022222122 is a wasteful number, since it uses less digits than its factorization.

212211022222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32718492.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212211022222122 its reverse (221222220112212), we get a palindrome (433433242334334).

The spelling of 212211022222122 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 139 154 202 231 278 303 417 462 606 707 834 973 1111 1414 1529 1946 2121 2222 2919 3058 3333 4242 4587 5838 6666 7777 9174 10703 14039 15554 21406 23331 28078 32109 42117 46662 64218 84234 98273 154429 196546 294819 308858 463287 589638 926574 1081003 2162006 3243009 6486018 32718229 65436458 98154687 196309374 229027603 359900519 458055206 687082809 719801038 1079701557 1374165618 2159403114 2519303633 3304541129 4547833831 5038607266 6609082258 7557910899 9095667662 9913623387 13643501493 15115821798 19827246774 23131787903 27287002986 31834836817 36349952419 46263575806 50026172141 63669673634 69395363709 72699904838 95504510451 100052344282 109049857257 138790727418 150078516423 191009020902 218099714514 254449666933 300157032846 350183204987 459331216931 508899333866 700366409974 763349000799 918662433862 1050549614961 1377993650793 1526698001598 2101099229922 2755987301586 3215318518517 5052643386241 6430637037034 9645955555551 10105286772482 15157930158723 19291911111102 30315860317446 35368503703687 70737007407374 106105511111061 212211022222122