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6122110112216 = 2371761883911927
BaseRepresentation
bin101100100010110101000…
…1100101101000111011000
3210200021020101020222011222
41121011222030231013120
51300301040142042331
621004243014311212
71201210411225220
oct131055214550730
923607211228158
106122110112216
111a5041061206a
1282a60a358508
1335540a765977
14172451495080
15a93b4301b7b
hex5916a32d1d8

6122110112216 has 128 divisors (see below), whose sum is σ = 14120996198400. Its totient is φ = 2428461803520.

The previous prime is 6122110112201. The next prime is 6122110112227.

It is a happy number.

6122110112216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61221101122162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513292445 + ... + 513304371.

It is an arithmetic number, because the mean of its divisors is an integer number (110320282800).

Almost surely, 26122110112216 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 6122110112216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060498099200).

6122110112216 is an abundant number, since it is smaller than the sum of its proper divisors (7998886086184).

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

6122110112216 is a wasteful number, since it uses less digits than its factorization.

6122110112216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20857 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 6122110 and 112216, that added together give a palindrome (6234326).

The spelling of 6122110112216 in words is "six trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 119 122 136 238 244 427 476 488 854 952 1037 1708 2074 3416 4148 7259 8296 8839 11927 14518 17678 23854 29036 35356 47708 58072 61873 70712 83489 95416 123746 150263 166978 202759 247492 300526 333956 405518 494984 539179 601052 667912 727547 811036 1051841 1078358 1202104 1419313 1455094 1622072 2103682 2156716 2838626 2910188 3774253 4207364 4313432 5092829 5677252 5820376 7548506 8414728 9166043 10185658 11354504 12368299 15097012 18332086 20371316 24736598 30194024 36664172 40742632 49473196 64162301 73328344 86578093 98946392 105422753 128324602 173156186 210845506 256649204 346312372 421691012 513298408 692624744 737959271 843382024 1475918542 1792186801 2951837084 3584373602 5903674168 6430787933 7168747204 12545307607 12861575866 14337494408 25090615214 25723151732 45015515531 50181230428 51446303464 90031031062 100362460856 109323394861 180062062124 218646789722 360124124248 437293579444 765263764027 874587158888 1530527528054 3061055056108 6122110112216