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21212333200 = 245253030833
BaseRepresentation
bin10011110000010110…
…101000010010010000
32000202022202011202101
4103300112220102100
5321420324130300
613424513530144
71350442600012
oct236026502220
960668664671
1021212333200
118aa5899993
12413bb73954
1320008c9966
1410533061b2
158423e0b6a
hex4f05a8490

21212333200 has 30 divisors (see below), whose sum is σ = 50962631474. Its totient is φ = 8484933120.

The previous prime is 21212333183. The next prime is 21212333209. The reversal of 21212333200 is 233321212.

It can be written as a sum of positive squares in 3 ways, for example, as 3487138704 + 17725194496 = 59052^2 + 133136^2 .

It is not an unprimeable number, because it can be changed into a prime (21212333209) 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 5 ways as a sum of consecutive naturals, for example, 26515017 + ... + 26515816.

Almost surely, 221212333200 is an apocalyptic number.

21212333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212333200 is an abundant number, since it is smaller than the sum of its proper divisors (29750298274).

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

21212333200 is a wasteful number, since it uses less digits than its factorization.

21212333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53030851 (or 53030840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21212333200 its reverse (233321212), we get a palindrome (21445654412).

The spelling of 21212333200 in words is "twenty-one billion, two hundred twelve million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 53030833 106061666 212123332 265154165 424246664 530308330 848493328 1060616660 1325770825 2121233320 2651541650 4242466640 5303083300 10606166600 21212333200