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21022022222112 = 2531791425185843
BaseRepresentation
bin1001100011110100100100…
…01010101100000100100000
32202102200111212120201121210
410301322102022230010200
510223411100142101422
6112413214513150120
74266535210412052
oct461722212540440
982380455521553
1021022022222112
11677543155739a
12243626085b340
13b964a2bb2222
1452968538b8d2
15266c6eb6a10c
hex131e922ac120

21022022222112 has 96 divisors (see below), whose sum is σ = 55495632487680. Its totient is φ = 6967623456000.

The previous prime is 21022022222093. The next prime is 21022022222141. The reversal of 21022022222112 is 21122222022012.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244846263 + ... + 244932105.

It is an arithmetic number, because the mean of its divisors is an integer number (578079505080).

Almost surely, 221022022222112 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 21022022222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27747816243840).

21022022222112 is an abundant number, since it is smaller than the sum of its proper divisors (34473610265568).

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

21022022222112 is a wasteful number, since it uses less digits than its factorization.

21022022222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100286 (or 100278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21022022222112 its reverse (21122222022012), we get a palindrome (42144244244124).

The spelling of 21022022222112 in words is "twenty-one trillion, twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 14251 17184 28502 42753 57004 85506 85843 114008 171012 171686 228016 257529 342024 343372 456032 515058 684048 686744 1030116 1368096 1373488 2060232 2550929 2746976 4120464 5101858 7652787 8240928 10203716 15305574 15365897 20407432 30611148 30731794 40814864 46097691 61222296 61463588 81629728 92195382 122444592 122927176 184390764 244889184 245854352 368781528 491708704 737563056 1223348593 1475126112 2446697186 3670045779 4893394372 7340091558 9786788744 14680183116 19573577488 29360366232 39147154976 58720732464 117441464928 218979398147 437958796294 656938194441 875917592588 1313876388882 1751835185176 2627752777764 3503670370352 5255505555528 7007340740704 10511011111056 21022022222112