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211221000300 = 223526977100913
BaseRepresentation
bin1100010010110111000…
…0001011000001101100
3202012012100120120011010
43010231300023001230
511430040034002200
6241011131025220
721155152610412
oct3045560130154
9665170516133
10211221000300
118163a825872
1234b2959b210
1316bc1c7461b
14a31a47d2b2
15576361a150
hex312dc0b06c

211221000300 has 72 divisors (see below), whose sum is σ = 611226410256. Its totient is φ = 56316968960.

The previous prime is 211221000293. The next prime is 211221000311. The reversal of 211221000300 is 3000122112.

It is a super-2 number, since 2×2112210003002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042644 + ... + 2143556.

It is an arithmetic number, because the mean of its divisors is an integer number (8489255698).

Almost surely, 2211221000300 is an apocalyptic number.

211221000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221000300 is an abundant number, since it is smaller than the sum of its proper divisors (400005409956).

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

211221000300 is a wasteful number, since it uses less digits than its factorization.

211221000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107907 (or 107900 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211221000300 its reverse (3000122112), we get a palindrome (214221122412).

The spelling of 211221000300 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6977 13954 20931 27908 34885 41862 69770 83724 100913 104655 139540 174425 201826 209310 302739 348850 403652 418620 504565 523275 605478 697700 1009130 1046550 1210956 1513695 2018260 2093100 2522825 3027390 5045650 6054780 7568475 10091300 15136950 30273900 704070001 1408140002 2112210003 2816280004 3520350005 4224420006 7040700010 8448840012 10561050015 14081400020 17601750025 21122100030 35203500050 42244200060 52805250075 70407000100 105610500150 211221000300