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220221120020011 = 113773101137535673
BaseRepresentation
bin110010000100101000111001…
…101000010111111000101011
31001212201221012111102102120221
4302010220321220113320223
5212331100323211120021
62100212104053030511
764246310435444665
oct6204507150277053
91055657174372527
10220221120020011
116419528610a180
12208483b3625437
1395b59bb309936
143c54a8acb9535
151a6d6cb603241
hexc84a39a17e2b

220221120020011 has 64 divisors (see below), whose sum is σ = 254434727926656. Its totient is φ = 188830808064000.

The previous prime is 220221120020003. The next prime is 220221120020021. The reversal of 220221120020011 is 110020021122022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220221120020011 - 23 = 220221120020003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220221120020021) 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 63 ways as a sum of consecutive naturals, for example, 410843271 + ... + 411378943.

It is an arithmetic number, because the mean of its divisors is an integer number (3975542623854).

Almost surely, 2220221120020011 is an apocalyptic number.

220221120020011 is a deficient number, since it is larger than the sum of its proper divisors (34213607906645).

220221120020011 is a wasteful number, since it uses less digits than its factorization.

220221120020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536032.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220221120020011 its reverse (110020021122022), we get a palindrome (330241141142033).

It can be divided in two parts, 2202211 and 20020011, that added together give a palindrome (22222222).

The spelling of 220221120020011 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twenty million, twenty thousand, eleven".

Divisors: 1 11 37 73 101 137 407 803 1111 1507 2701 3737 5069 7373 10001 13837 29711 41107 55759 81103 110011 152207 272801 370037 511969 535673 1010101 3000811 4070407 5631659 5892403 11111111 19819901 37373737 39104129 54102973 73387201 218018911 411111107 430145419 595132703 807259211 1446852773 2001810001 2715326437 3949517029 5357265673 7412107301 15915380503 22019910011 29868590807 43444687319 58929922403 81533180311 146132130073 198218829901 274247970137 541083832973 1607453430803 2180407128911 3016727671507 5951922162703 20020101820001 220221120020011