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21200022300320 = 255313423323129
BaseRepresentation
bin1001101001000000000111…
…10011000110011010100000
32210001200222000010120220222
410310200003303012122200
510234320121202102240
6113031053352422212
74315436213204303
oct464400363063240
983050860116828
1021200022300320
1168339739a5746
1224648586a7968
13baa1cc3a8ba6
1453412d70cb3a
1526b6db9c8eb5
hex134803cc66a0

21200022300320 has 48 divisors (see below), whose sum is σ = 50245068945960. Its totient is φ = 8452916219904.

The previous prime is 21200022300313. The next prime is 21200022300323. The reversal of 21200022300320 is 2300322000212.

It can be written as a sum of positive squares in 4 ways, for example, as 15971244931216 + 5228777369104 = 3996404^2 + 2286652^2 .

It is not an unprimeable number, because it can be changed into a prime (21200022300323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 211611485 + ... + 211711644.

Almost surely, 221200022300320 is an apocalyptic number.

21200022300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200022300320 is an abundant number, since it is smaller than the sum of its proper divisors (29045046645640).

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

21200022300320 is a wasteful number, since it uses less digits than its factorization.

21200022300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423323457 (or 423323449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 21200022300320 its reverse (2300322000212), we get a palindrome (23500344300532).

The spelling of 21200022300320 in words is "twenty-one trillion, two hundred billion, twenty-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 25040 50080 423323129 846646258 1693292516 2116615645 3386585032 4233231290 6773170064 8466462580 13546340128 16932925160 33865850320 67731700640 132500139377 265000278754 530000557508 662500696885 1060001115016 1325001393770 2120002230032 2650002787540 4240004460064 5300005575080 10600011150160 21200022300320