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221111222111112 = 233372811682352673
BaseRepresentation
bin110010010001100101110111…
…110110011000101110001000
31001222220000201020112122100210
4302101211313312120232020
5212440141240330023422
62102133032042001120
764400521131415164
oct6221456766305610
91058800636478323
10221111222111112
11644a8819584573
1220970a04aa61a0
13964b9112a1ac8
143c85ba9915ca4
151a86924bdb10c
hexc91977d98b88

221111222111112 has 128 divisors (see below), whose sum is σ = 569783035272960. Its totient is φ = 71450941685760.

The previous prime is 221111222111083. The next prime is 221111222111123. The reversal of 221111222111112 is 211111222111122.

221111222111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 4197783208 + ... + 4197835880.

It is an arithmetic number, because the mean of its divisors is an integer number (4451429963070).

Almost surely, 2221111222111112 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 221111222111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284891517636480).

221111222111112 is an abundant number, since it is smaller than the sum of its proper divisors (348671813161848).

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

221111222111112 is a wasteful number, since it uses less digits than its factorization.

221111222111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69823 (or 69819 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

Adding to 221111222111112 its reverse (211111222111122), we get a palindrome (432222444222234).

The spelling of 221111222111112 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 281 296 444 562 843 888 1124 1686 2248 3372 6744 10397 16823 20794 31191 33646 41588 50469 52673 62382 67292 83176 100938 105346 124764 134584 158019 201876 210692 249528 316038 403752 421384 622451 632076 1244902 1264152 1867353 1948901 2489804 3734706 3897802 4727263 4979608 5846703 7469412 7795604 9454526 11693406 14181789 14801113 14938824 15591208 18909052 23386812 28363578 29602226 37818104 44403339 46773624 56727156 59204452 88806678 113454312 118408904 174908731 177613356 349817462 355226712 524726193 547641181 699634924 886117879 1049452386 1095282362 1399269848 1642923543 1772235758 2098904772 2190564724 2658353637 3285847086 3544471516 4197809544 4381129448 5316707274 6571694172 7088943032 10633414548 13143388344 21266829096 32786361523 65572723046 98359084569 131145446092 196718169138 248999123999 262290892184 393436338276 497998247998 746997371997 786872676552 995996495996 1493994743994 1991992991992 2987989487988 5975978975976 9212967587963 18425935175926 27638902763889 36851870351852 55277805527778 73703740703704 110555611055556 221111222111112