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22112111112020 = 22541433677170551
BaseRepresentation
bin1010000011100011000001…
…00001110010111101010100
32220021220020001010221020222
411001301200201302331110
510344241100421041040
6115010055201213512
74441355504164646
oct501614041627524
986256201127228
1022112111112020
11705576a296706
122591585331298
13c452175238c7
14566336430896
152852c046abb5
hex141c60872f54

22112111112020 has 96 divisors (see below), whose sum is σ = 48687760509696. Its totient is φ = 8426097792000.

The previous prime is 22112111112011. The next prime is 22112111112037. The reversal of 22112111112020 is 2021111121122.

It is a super-3 number, since 3×221121111120203 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22112111112020.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 129565745 + ... + 129736295.

It is an arithmetic number, because the mean of its divisors is an integer number (507164171976).

Almost surely, 222112111112020 is an apocalyptic number.

22112111112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112111112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24343880254848).

22112111112020 is an abundant number, since it is smaller than the sum of its proper divisors (26575649397676).

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

22112111112020 is a wasteful number, since it uses less digits than its factorization.

22112111112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174321 (or 174319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22112111112020 its reverse (2021111121122), we get a palindrome (24133222233142).

The spelling of 22112111112020 in words is "twenty-two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1763 3526 3677 7052 7354 8815 14708 17630 18385 35260 36770 73540 150757 158111 170551 301514 316222 341102 603028 632444 682204 753785 790555 852755 1507570 1581110 1705510 3015140 3162220 3411020 6482551 6992591 7333693 12965102 13985182 14667386 25930204 27970364 29334772 32412755 34962955 36668465 64825510 69925910 73336930 129651020 139851820 146673860 300681413 601362826 627116027 1202725652 1254232054 1503407065 2508464108 3006814130 3135580135 6013628260 6271160270 12542320540 25711757107 26965989161 51423514214 53931978322 102847028428 107863956644 128558785535 134829945805 257117571070 269659891610 514235142140 539319783220 1105605555601 2211211111202 4422422222404 5528027778005 11056055556010 22112111112020