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21212220032 = 27612716729
BaseRepresentation
bin10011110000010110…
…001100101010000000
32000202022112102111222
4103300112030222000
5321420312020112
613424511254212
71350441616043
oct236026145200
960668472458
1021212220032
118aa5821963
12413bb1a368
13200088a2b3
1410532b6c5a
158423bc372
hex4f058ca80

21212220032 has 32 divisors (see below), whose sum is σ = 42951501300. Its totient is φ = 10432235520.

The previous prime is 21212220031. The next prime is 21212220047. The reversal of 21212220032 is 23002221212.

It can be written as a sum of positive squares in 2 ways, for example, as 19885512256 + 1326707776 = 141016^2 + 36424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (21212220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1350557 + ... + 1366172.

Almost surely, 221212220032 is an apocalyptic number.

It is an amenable number.

21212220032 is an abundant number, since it is smaller than the sum of its proper divisors (21739281268).

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

21212220032 is an equidigital number, since it uses as much as digits as its factorization.

21212220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716804 (or 2716792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21212220032 its reverse (23002221212), we get a palindrome (44214441244).

The spelling of 21212220032 in words is "twenty-one billion, two hundred twelve million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 2716729 5433458 10866916 21733832 43467664 86935328 165720469 173870656 331440938 347741312 662881876 1325763752 2651527504 5303055008 10606110016 21212220032