Search a number
-
+
2112221222012 = 2211315342716841
BaseRepresentation
bin11110101111001010001…
…100100001010001111100
321110221000022212121010002
4132233022030201101330
5234101312113101022
64254201355133432
7305413545103316
oct36571214412174
97427008777102
102112221222012
117448738a5970
122a1442744278
13124248cb3315
1474336a767b6
1539e250d5092
hex1ebca32147c

2112221222012 has 96 divisors (see below), whose sum is σ = 4242651291648. Its totient is φ = 911252160000.

The previous prime is 2112221221997. The next prime is 2112221222017. The reversal of 2112221222012 is 2102221222112.

It is a super-2 number, since 2×21122212220122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112221222017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308755712 + ... + 308762552.

It is an arithmetic number, because the mean of its divisors is an integer number (44194284288).

Almost surely, 22112221222012 is an apocalyptic number.

2112221222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112221222012 is an abundant number, since it is smaller than the sum of its proper divisors (2130430069636).

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

2112221222012 is a wasteful number, since it uses less digits than its factorization.

2112221222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11209 counting only the distinct ones).

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

Adding to 2112221222012 its reverse (2102221222112), we get a palindrome (4214442444124).

The spelling of 2112221222012 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 22 31 44 53 62 106 124 212 341 583 682 1166 1364 1643 2332 3286 4271 6572 6841 8542 13682 17084 18073 27364 36146 46981 72292 75251 93962 132401 150502 187924 212071 226363 264802 301004 362573 424142 452726 529604 725146 848284 905452 1450292 1456411 2332781 2489993 2912822 3988303 4665562 4979986 5825644 7017253 7976606 9331124 9959972 11239763 14034506 15953212 22479526 28069012 29217911 44959052 58435822 77189783 116871644 123637393 154379566 247274786 308759132 321397021 494549572 642794042 905755241 1285588084 1548549283 1811510482 3097098566 3623020964 6194197132 9963307651 17034042113 19926615302 34068084226 39853230604 48005027773 68136168452 96010055546 192020111092 528055305503 1056110611006 2112221222012