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2000300211 = 337131395857
BaseRepresentation
bin111011100111010…
…0010100010110011
312011101220210001000
41313032202202303
513044034101321
6530253213043
7100366162020
oct16716424263
95141823030
102000300211
11937132178
12479a91183
1325b550bc0
1414d936547
15ba921826
hex773a28b3

2000300211 has 64 divisors (see below), whose sum is σ = 3674137600. Its totient is φ = 1047333888.

The previous prime is 2000300207. The next prime is 2000300219. The reversal of 2000300211 is 1120030002.

2000300211 = T490 + T491 + ... + T2296.

It is a happy number.

It is not a de Polignac number, because 2000300211 - 22 = 2000300207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000300193 and 2000300202.

It is not an unprimeable number, because it can be changed into a prime (2000300219) 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 63 ways as a sum of consecutive naturals, for example, 338595 + ... + 344451.

It is an arithmetic number, because the mean of its divisors is an integer number (57408400).

Almost surely, 22000300211 is an apocalyptic number.

2000300211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2000300211 is a deficient number, since it is larger than the sum of its proper divisors (1673837389).

2000300211 is a wasteful number, since it uses less digits than its factorization.

2000300211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000300211 is about 44724.7158850674. The cubic root of 2000300211 is about 1259.9840871006.

Adding to 2000300211 its reverse (1120030002), we get a palindrome (3120330213).

The spelling of 2000300211 in words is "two billion, three hundred thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 139 189 273 351 417 819 973 1251 1807 2457 2919 3753 5421 5857 8757 12649 16263 17571 26271 37947 40999 48789 52713 76141 113841 122997 158139 228423 341523 368991 532987 685269 814123 1106973 1598961 2055807 2442369 4796883 5698861 7327107 10583599 14390649 17096583 21981321 31750797 51289749 74085193 95252391 153869247 222255579 285757173 666766737 2000300211