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21220313332000 = 25535305078333
BaseRepresentation
bin1001101001100101111010…
…01111001111100100100000
32210010122100010021210120211
410310302331033033210200
510240133200203111000
6113044251035543504
74320055101136126
oct464627517174440
983118303253524
1021220313332000
116841536733112
12246877bbbab94
13bac0b4161503
145350d6511916
1526bec80817ba
hex134cbd3cf920

21220313332000 has 48 divisors (see below), whose sum is σ = 52138309866552. Its totient is φ = 8488125331200.

The previous prime is 21220313331991. The next prime is 21220313332013. The reversal of 21220313332000 is 23331302212.

It can be written as a sum of positive squares in 4 ways, for example, as 4014044306064 + 17206269025936 = 2003508^2 + 4148044^2 .

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 7 ways as a sum of consecutive naturals, for example, 2652535167 + ... + 2652543166.

Almost surely, 221220313332000 is an apocalyptic number.

21220313332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220313332000 is an abundant number, since it is smaller than the sum of its proper divisors (30917996534552).

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

21220313332000 is an equidigital number, since it uses as much as digits as its factorization.

21220313332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305078358 (or 5305078340 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21220313332000 its reverse (23331302212), we get a palindrome (21243644634212).

The spelling of 21220313332000 in words is "twenty-one trillion, two hundred twenty billion, three hundred thirteen million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5305078333 10610156666 21220313332 26525391665 42440626664 53050783330 84881253328 106101566660 132626958325 169762506656 212203133320 265253916650 424406266640 530507833300 663134791625 848812533280 1061015666600 1326269583250 2122031333200 2652539166500 4244062666400 5305078333000 10610156666000 21220313332000