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21212100202200 = 2335235353500337
BaseRepresentation
bin1001101001010110100111…
…01100101000111011011000
32210002212010201211120120020
410310223103230220323120
510240014340122432300
6113040412044030440
74316344421525235
oct464532354507330
983085121746506
1021212100202200
116839001625136
122467069532420
13bab3a5717aab
1453495780878c
1526bb96ed68a0
hex134ad3b28ed8

21212100202200 has 48 divisors (see below), whose sum is σ = 65757510628680. Its totient is φ = 5656560053760.

The previous prime is 21212100202171. The next prime is 21212100202211. The reversal of 21212100202200 is 220200121212.

It is a super-3 number, since 3×212121002022003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21212100202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17676749569 + ... + 17676750768.

Almost surely, 221212100202200 is an apocalyptic number.

21212100202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212100202200 is an abundant number, since it is smaller than the sum of its proper divisors (44545410426480).

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

21212100202200 is a wasteful number, since it uses less digits than its factorization.

21212100202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35353500356 (or 35353500347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21212100202200 its reverse (220200121212), we get a palindrome (21432300323412).

The spelling of 21212100202200 in words is "twenty-one trillion, two hundred twelve billion, one hundred million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 35353500337 70707000674 106060501011 141414001348 176767501685 212121002022 282828002696 353535003370 424242004044 530302505055 707070006740 848484008088 883837508425 1060605010110 1414140013480 1767675016850 2121210020220 2651512525275 3535350033700 4242420040440 5303025050550 7070700067400 10606050101100 21212100202200