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2111222122212 = 223714921676779
BaseRepresentation
bin11110101110001110101…
…001010000011011100100
321110211102200220001211210
4132232032221100123210
5234042240330402322
64253514305031420
7305350023642030
oct36561651203344
97424380801753
102111222122212
11744400937455
122a1204025570
13124119cccac8
14742800c11c0
1539db753070c
hex1eb8ea506e4

2111222122212 has 144 divisors (see below), whose sum is σ = 5702745000960. Its totient is φ = 595482328704.

The previous prime is 2111222122193. The next prime is 2111222122223. The reversal of 2111222122212 is 2122212221112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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, 311432239 + ... + 311439017.

It is an arithmetic number, because the mean of its divisors is an integer number (39602395840).

Almost surely, 22111222122212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111222122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851372500480).

2111222122212 is an abundant number, since it is smaller than the sum of its proper divisors (3591522878748).

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

2111222122212 is a wasteful number, since it uses less digits than its factorization.

2111222122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7107 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 2111222122212 its reverse (2122212221112), we get a palindrome (4233434343324).

The spelling of 2111222122212 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 167 298 334 447 501 596 668 894 1002 1043 1169 1788 2004 2086 2338 3129 3507 4172 4676 6258 6779 7014 12516 13558 14028 20337 22201 24883 27116 40674 44402 47453 49766 66603 74649 81348 88804 94906 99532 133206 142359 149298 155407 174181 189812 266412 284718 298596 310814 348362 466221 522543 569436 621628 696724 932442 1010071 1045086 1132093 1864884 2020142 2090172 2264186 3030213 3396279 3707567 4040284 4528372 6060426 6792558 7070497 7415134 7924651 11122701 12120852 13585116 14140994 14830268 15849302 21211491 22245402 23773953 25952969 28281988 31698604 42422982 44490804 47547906 51905938 77858907 84845964 95095812 103811876 150500579 155717814 168681857 301001158 311435628 337363714 451501737 506045571 602002316 674727428 903003474 1012091142 1053504053 1180772999 1806006948 2024182284 2107008106 2361545998 3160512159 3542318997 4214016212 4723091996 6321024318 7084637994 12642048636 14169275988 25133596693 50267193386 75400790079 100534386772 150801580158 175935176851 301603160316 351870353702 527805530553 703740707404 1055611061106 2111222122212