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21112201101112 = 2311599834136617
BaseRepresentation
bin1001100110011100100010…
…01111110011111100111000
32202202022021121001102121021
410303032101033303330320
510231400241440213422
6112522451123352224
74306210011264532
oct463162117637470
982668247042537
1021112201101112
1167aa6a8144970
12244b829522674
13ba1b44aa5064
1452db9bd30852
1526929ba7cdc7
hex1333913f3f38

21112201101112 has 64 divisors (see below), whose sum is σ = 43960666809600. Its totient is φ = 9424204035840.

The previous prime is 21112201101097. The next prime is 21112201101139. The reversal of 21112201101112 is 21110110221112.

It is a congruent number.

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, 3035428 + ... + 7172044.

It is an arithmetic number, because the mean of its divisors is an integer number (686885418900).

Almost surely, 221112201101112 is an apocalyptic number.

21112201101112 is a gapful number since it is divisible by the number (22) 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 21112201101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980333404800).

21112201101112 is an abundant number, since it is smaller than the sum of its proper divisors (22848465708488).

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

21112201101112 is a wasteful number, since it uses less digits than its factorization.

21112201101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137676 (or 4137672 counting only the distinct ones).

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

Adding to 21112201101112 its reverse (21110110221112), we get a palindrome (42222311322224).

The spelling of 21112201101112 in words is "twenty-one trillion, one hundred twelve billion, two hundred one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 983 1298 1966 2596 3932 5192 7864 10813 21626 43252 57997 86504 115994 231988 463976 637967 1275934 2551868 4136617 5103736 8273234 16546468 33092936 45502787 91005574 182011148 244060403 364022296 488120806 976241612 1952483224 2684664433 4066294511 5369328866 8132589022 10738657732 16265178044 21477315464 32530356088 44729239621 89458479242 178916958484 239911376149 357833916968 479822752298 959645504596 1919291009192 2639025137639 5278050275278 10556100550556 21112201101112