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1110221210112 = 2937208949429
BaseRepresentation
bin10000001001111110010…
…101110100001000000000
310221010200020002001002020
4100021332111310020000
5121142213112210422
62210010101321440
7143132213402640
oct20117625641000
93833606061066
101110221210112
11398929a25483
1215b202a06280
1380902567bb1
143ba40b70520
151dd2cea795c
hex1027e574200

1110221210112 has 160 divisors (see below), whose sum is σ = 3381913603200. Its totient is φ = 317047799808.

The previous prime is 1110221210107. The next prime is 1110221210243. The reversal of 1110221210112 is 2110121220111.

It is a happy number.

It is a super-2 number, since 2×11102212101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110221210091 and 1110221210100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22436214 + ... + 22485642.

It is an arithmetic number, because the mean of its divisors is an integer number (21136960020).

Almost surely, 21110221210112 is an apocalyptic number.

1110221210112 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 1110221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690956801600).

1110221210112 is an abundant number, since it is smaller than the sum of its proper divisors (2271692393088).

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

1110221210112 is an equidigital number, since it uses as much as digits as its factorization.

1110221210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51546 (or 51530 counting only the distinct ones).

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

Adding to 1110221210112 its reverse (2110121220111), we get a palindrome (3220342430223).

Subtracting 1110221210112 from its reverse (2110121220111), we obtain a palindrome (999900009999).

The spelling of 1110221210112 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2089 2688 3584 4178 5376 6267 8356 10752 12534 14623 16712 25068 29246 33424 43869 49429 50136 58492 66848 87738 98858 100272 116984 133696 148287 175476 197716 200544 233968 267392 296574 346003 350952 395432 401088 467936 534784 593148 692006 701904 790864 802176 935872 1038009 1069568 1186296 1384012 1403808 1581728 1604352 1871744 2076018 2372592 2768024 2807616 3163456 3208704 3743488 4152036 4745184 5536048 5615232 6326912 7486976 8304072 9490368 11072096 11230464 12653824 16608144 18980736 22144192 22460928 25307648 33216288 37961472 44288384 66432576 75922944 88576768 103257181 132865152 177153536 206514362 265730304 309771543 413028724 531460608 619543086 722800267 826057448 1239086172 1445600534 1652114896 2168400801 2478172344 2891201068 3304229792 4336801602 4956344688 5782402136 6608459584 8673603204 9912689376 11564804272 13216919168 17347206408 19825378752 23129608544 26433838336 34694412816 39650757504 46259217088 52867676672 69388825632 79301515008 92518434176 138777651264 158603030016 185036868352 277555302528 370073736704 555110605056 1110221210112