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221020020011 = 77310314928183
BaseRepresentation
bin1100110111010111010…
…0011101110100101011
3210010111021011100011002
43031311310131310223
512110122111120021
6245311334025215
721653040113120
oct3156564356453
9703437140132
10221020020011
118580904836a
1236a031a820b
1317ac412353b
14a9a9a46747
155b38a2850b
hex3375d1dd2b

221020020011 has 32 divisors (see below), whose sum is σ = 260284876800. Its totient is φ = 183788123904.

The previous prime is 221020020007. The next prime is 221020020071. The reversal of 221020020011 is 110020020122.

It is a happy number.

It is not a de Polignac number, because 221020020011 - 22 = 221020020007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221020019974 and 221020020001.

It is not an unprimeable number, because it can be changed into a prime (221020020071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7828226 + ... + 7856408.

It is an arithmetic number, because the mean of its divisors is an integer number (8133902400).

Almost surely, 2221020020011 is an apocalyptic number.

221020020011 is a deficient number, since it is larger than the sum of its proper divisors (39264856789).

221020020011 is a wasteful number, since it uses less digits than its factorization.

221020020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28515.

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

Adding to 221020020011 its reverse (110020020122), we get a palindrome (331040040133).

The spelling of 221020020011 in words is "two hundred twenty-one billion, twenty million, twenty thousand, eleven".

Divisors: 1 7 73 103 149 511 721 1043 7519 10877 15347 28183 52633 76139 107429 197281 1120331 2057359 2902849 4199267 7842317 14401513 20319943 29394869 211907977 306546491 432524501 1483355839 2145825437 3027671507 31574288573 221020020011