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110020222001112 = 233531439295720327
BaseRepresentation
bin11001000001000000010100…
…010000000001111111011000
3112102112211102102210212122020
4121001000110100001333120
5103410032403313013422
61025554331531254440
732113461443633163
oct3101002420017730
9472484372725566
10110020222001112
1132068350109a05
121040a7a58aa420
134950b299675a7
141d250158d4ada
15cabd29bd195c
hex641014401fd8

110020222001112 has 128 divisors (see below), whose sum is σ = 280543573094400. Its totient is φ = 35942523688448.

The previous prime is 110020222001089. The next prime is 110020222001117. The reversal of 110020222001112 is 211100222020011.

It is a junction number, because it is equal to n+sod(n) for n = 110020222001091 and 110020222001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020222001117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412506293 + ... + 5412526619.

It is an arithmetic number, because the mean of its divisors is an integer number (2191746664800).

Almost surely, 2110020222001112 is an apocalyptic number.

110020222001112 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 110020222001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140271786547200).

110020222001112 is an abundant number, since it is smaller than the sum of its proper divisors (170523351093288).

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

110020222001112 is a wasteful number, since it uses less digits than its factorization.

110020222001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110020222001112 its reverse (211100222020011), we get a palindrome (321120444021123).

The spelling of 110020222001112 in words is "one hundred ten trillion, twenty billion, two hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1439 2878 2957 4317 5756 5914 8634 8871 11512 11828 17268 17742 20327 23656 34536 35484 40654 60981 70968 76267 81308 121962 152534 156721 162616 228801 243924 305068 313442 457602 470163 487848 610136 626884 915204 940326 1077331 1253768 1830408 1880652 2154662 3231993 3761304 4255123 4309324 6463986 8510246 8618648 12765369 12927972 17020492 25530738 25855944 29250553 34040984 51061476 58501106 60106939 87751659 102122952 117002212 120213878 175503318 180320817 225521519 234004424 240427756 351006636 360641634 451043038 480855512 676564557 702013272 721283268 902086076 1353129114 1442566536 1550279309 1804172152 2706258228 3100558618 3185667767 4650837927 5412516456 6201117236 6371335534 9301675854 9557003301 12402234472 12742671068 18603351708 19114006602 25485342136 37206703416 38228013204 76456026408 86493885221 172987770442 259481655663 345975540884 518963311326 691951081768 1037926622652 2075853245304 4584175916713 9168351833426 13752527750139 18336703666852 27505055500278 36673407333704 55010111000556 110020222001112