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211012112212220 = 225112432027792737
BaseRepresentation
bin101111111110101000010101…
…111111011110000011111100
31000200010120010220112212110102
4233332220111333132003330
5210124210301211242340
62024441343123500232
762306056564562204
oct5776502577360374
91020116126485412
10211012112212220
11612648092a6600
121b7bb689527678
139098483b759c7
143a1707da67404
15195dd98c82215
hexbfea15fde0fc

211012112212220 has 72 divisors (see below), whose sum is σ = 498399010316592. Its totient is φ = 74947219522560.

The previous prime is 211012112212219. The next prime is 211012112212247. The reversal of 211012112212220 is 22212211210112.

It is a super-2 number, since 2×2110121122122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211012112212192 and 211012112212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013792309 + ... + 1014000428.

Almost surely, 2211012112212220 is an apocalyptic number.

211012112212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012112212220 is an abundant number, since it is smaller than the sum of its proper divisors (287386898104372).

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

211012112212220 is a wasteful number, since it uses less digits than its factorization.

211012112212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027792811 (or 2027792798 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211012112212220 its reverse (22212211210112), we get a palindrome (233224323422332).

It can be divided in two parts, 2110121 and 12212220, that added together give a palindrome (14322341).

The spelling of 211012112212220 in words is "two hundred eleven trillion, twelve billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 4730 5203 9460 10406 20812 26015 52030 104060 2027792737 4055585474 8111170948 10138963685 20277927370 22305720107 40555854740 44611440214 87195087691 89222880428 111528600535 174390175382 223057201070 245362921177 348780350764 435975438455 446114402140 490725842354 871950876910 959145964601 981451684708 1226814605885 1743901753820 1918291929202 2453629211770 3836583858404 4795729823005 4907258423540 9591459646010 10550605610611 19182919292020 21101211221222 42202422442444 52753028053055 105506056106110 211012112212220