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21222011002000 = 245310611005501
BaseRepresentation
bin1001101001101001000100…
…11011010101110010010000
32210010210201102202101000111
410310310202123111302100
510240200134304031000
6113045131322531104
74320145134115264
oct464644233256220
983123642671014
1021222011002000
116842227a54776
122468b74666a94
13bac2c4aa3383
14535217b8c0a4
1526c077124cba
hex134d226d5c90

21222011002000 has 40 divisors (see below), whose sum is σ = 51314822607672. Its totient is φ = 8488804400000.

The previous prime is 21222011001943. The next prime is 21222011002021. The reversal of 21222011002000 is 20011022212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6367184195584 + 14854826806416 = 2523328^2 + 3854196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5305500751 + ... + 5305504750.

Almost surely, 221222011002000 is an apocalyptic number.

21222011002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222011002000 is an abundant number, since it is smaller than the sum of its proper divisors (30092811605672).

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

21222011002000 is a wasteful number, since it uses less digits than its factorization.

21222011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10611005524 (or 10611005508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21222011002000 its reverse (20011022212), we get a palindrome (21242022024212).

The spelling of 21222011002000 in words is "twenty-one trillion, two hundred twenty-two billion, eleven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10611005501 21222011002 42444022004 53055027505 84888044008 106110055010 169776088016 212220110020 265275137525 424440220040 530550275050 848880440080 1061100550100 1326375687625 2122201100200 2652751375250 4244402200400 5305502750500 10611005501000 21222011002000