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22300331300 = 22521317154101
BaseRepresentation
bin10100110001001101…
…000000110100100100
32010120011000012120022
4110301031000310210
5331132341100200
614124501254312
71416423455102
oct246115006444
963504005508
1022300331300
119503a56a75
1243a4404398
132145137810
1411179dcc72
158a7ba5885
hex531340d24

22300331300 has 36 divisors (see below), whose sum is σ = 52114161876. Its totient is φ = 8233968000.

The previous prime is 22300331299. The next prime is 22300331321. The reversal of 22300331300 is 313300322.

It can be written as a sum of positive squares in 6 ways, for example, as 2024280064 + 20276051236 = 44992^2 + 142394^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8575751 + ... + 8578350.

Almost surely, 222300331300 is an apocalyptic number.

22300331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300331300 is an abundant number, since it is smaller than the sum of its proper divisors (29813830576).

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

22300331300 is a wasteful number, since it uses less digits than its factorization.

22300331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154128 (or 17154121 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 22300331300 its reverse (313300322), we get a palindrome (22613631622).

The spelling of 22300331300 in words is "twenty-two billion, three hundred million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 17154101 34308202 68616404 85770505 171541010 223003313 343082020 428852525 446006626 857705050 892013252 1115016565 1715410100 2230033130 4460066260 5575082825 11150165650 22300331300