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221000011221 = 31121317314161
BaseRepresentation
bin1100110111010010100…
…0001000110111010101
3210010102212111210020210
43031310220020313111
512110102000324341
6245305341120033
721652405046343
oct3156450106725
9703385453223
10221000011221
11857a8821480
12369b8559019
1317abcc39112
14a9a7118993
155b36dc4c16
hex3374a08dd5

221000011221 has 16 divisors (see below), whose sum is σ = 321470664768. Its totient is φ = 133932691200.

The previous prime is 221000011201. The next prime is 221000011259. The reversal of 221000011221 is 122110000122.

221000011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221000011221 - 223 = 220991622613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221000011197 and 221000011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000011201) 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, 546381 + ... + 860541.

It is an arithmetic number, because the mean of its divisors is an integer number (20091916548).

Almost surely, 2221000011221 is an apocalyptic number.

It is an amenable number.

221000011221 is a deficient number, since it is larger than the sum of its proper divisors (100470653547).

221000011221 is a wasteful number, since it uses less digits than its factorization.

221000011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335492.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221000011221 its reverse (122110000122), we get a palindrome (343110011343).

The spelling of 221000011221 in words is "two hundred twenty-one billion, eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 21317 63951 234487 314161 703461 942483 3455771 10367313 6696970037 20090910111 73666670407 221000011221