Search a number
-
+
221021120012011 = 1173101137109718133
BaseRepresentation
bin110010010000010001111101…
…010110001001111011101011
31001222120102010212112202121021
4302100101331112021323223
5212432202223210341021
62102023411213153311
764361151252254464
oct6220217526117353
91058512125482537
10221021120012011
1164473592268960
1220957459a8b837
139643282282777
143c8169d23bd6b
151a843ee8e2c41
hexc9047d589eeb

221021120012011 has 64 divisors (see below), whose sum is σ = 248878955500416. Its totient is φ = 194593204224000.

The previous prime is 221021120011981. The next prime is 221021120012047. The reversal of 221021120012011 is 110210021120122.

It is not a de Polignac number, because 221021120012011 - 221 = 221021117914859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221021120012081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12188879701 + ... + 12188897833.

It is an arithmetic number, because the mean of its divisors is an integer number (3888733679694).

Almost surely, 2221021120012011 is an apocalyptic number.

221021120012011 is a deficient number, since it is larger than the sum of its proper divisors (27857835488405).

221021120012011 is a wasteful number, since it uses less digits than its factorization.

221021120012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19552.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221021120012011 its reverse (110210021120122), we get a palindrome (331231141132133).

It can be divided in two parts, 2210211 and 20012011, that added together give a palindrome (22222222).

The spelling of 221021120012011 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty million, twelve thousand, eleven".

Divisors: 1 11 73 101 137 803 1097 1111 1507 7373 10001 12067 13837 18133 80081 81103 110011 110797 150289 152207 199463 880891 1010101 1218767 1323709 1653179 1831433 2484221 8088181 10971097 11111111 14560799 15179189 19891901 20145763 27326431 88969991 120682067 133694609 166971079 181348133 218810911 250906321 1108080797 1452108773 1470640699 1994829463 2009082001 2725190437 2759969531 12188888767 15973196503 18316161433 22099902011 29977094807 146662986073 198938901901 201477775763 275244234137 1613292846803 2188327920911 3027686575507 20092829092001 221021120012011