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111221021112 = 233411132713691
BaseRepresentation
bin110011110010101001…
…0100001100110111000
3101122002011222021110020
41213211102201212320
53310240040133422
6123032204250440
711015106036525
oct1474522414670
9348064867406
10111221021112
1143194404373
121967b840a20
13a6464714c6
14555142614c
152d5e3d695c
hex19e54a19b8

111221021112 has 128 divisors (see below), whose sum is σ = 288493470720. Its totient is φ = 35707392000.

The previous prime is 111221021081. The next prime is 111221021137. The reversal of 111221021112 is 211120122111.

It is a happy number.

111221021112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 111221021091 and 111221021100.

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, 30131187 + ... + 30134877.

It is an arithmetic number, because the mean of its divisors is an integer number (2253855240).

Almost surely, 2111221021112 is an apocalyptic number.

111221021112 is a gapful number since it is divisible by the number (12) 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 111221021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246735360).

111221021112 is an abundant number, since it is smaller than the sum of its proper divisors (177272449608).

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

111221021112 is a wasteful number, since it uses less digits than its factorization.

111221021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111221021112 its reverse (211120122111), we get a palindrome (322341143223).

The spelling of 111221021112 in words is "one hundred eleven billion, two hundred twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 113 123 164 226 246 271 328 339 452 492 542 678 813 904 984 1084 1356 1626 2168 2712 3252 3691 4633 6504 7382 9266 11073 11111 13899 14764 18532 22146 22222 27798 29528 30623 33333 37064 44292 44444 55596 61246 66666 88584 88888 91869 111192 122492 133332 151331 183738 244984 266664 302662 367476 417083 453993 605324 734952 834166 907986 1000261 1210648 1251249 1255543 1668332 1815972 2000522 2502498 2511086 3000783 3336664 3631944 3766629 4001044 5004996 5022172 6001566 7533258 8002088 10009992 10044344 12003132 15066516 17100403 24006264 30133032 34200806 41010701 51301209 68401612 82021402 102602418 113029493 123032103 136803224 164042804 205204836 226058986 246064206 328085608 339088479 410409672 452117972 492128412 678176958 904235944 984256824 1356353916 2712707832 4634209213 9268418426 13902627639 18536836852 27805255278 37073673704 55610510556 111221021112