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20021200200011 = 436916337106331
BaseRepresentation
bin1001000110101100011001…
…00001101010000101001011
32121220000012212101020210202
410203112030201222011023
510111011404222400021
6110325340140002415
74134325001526113
oct443261441520513
977800185336722
1020021200200011
116419a4161a09a
1222b42ab53040b
13b22cb6522b9a
144d3061ac6043
1524abe617ba0b
hex12358c86a14b

20021200200011 has 16 divisors (see below), whose sum is σ = 20519888112768. Its totient is φ = 19524025382400.

The previous prime is 20021200200007. The next prime is 20021200200109. The reversal of 20021200200011 is 11000200212002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20021200200011 - 22 = 20021200200007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20021200199965 and 20021200200001.

It is not an unprimeable number, because it can be changed into a prime (20021200200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188238116 + ... + 188344446.

It is an arithmetic number, because the mean of its divisors is an integer number (1282493007048).

Almost surely, 220021200200011 is an apocalyptic number.

20021200200011 is a deficient number, since it is larger than the sum of its proper divisors (498687912757).

20021200200011 is a wasteful number, since it uses less digits than its factorization.

20021200200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113402.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20021200200011 its reverse (11000200212002), we get a palindrome (31021400412013).

The spelling of 20021200200011 in words is "twenty trillion, twenty-one billion, two hundred million, two hundred thousand, eleven".

Divisors: 1 43 691 6337 29713 106331 272491 4378867 4572233 73474721 188291281 673819547 3159413003 28974240521 465609306977 20021200200011