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221122222101001 = 131712726337979039
BaseRepresentation
bin110010010001110000000111…
…100000000001001000001001
31001222221002002211222000201201
4302101300013200001020021
5212440331302324213001
62102142051345544201
764401360540656434
oct6221600740011011
91058832084860651
10221122222101001
1164502453805801
1220972b74945061
13964c9751c4970
143c865307c281b
151a86d6a777501
hexc91c07801209

221122222101001 has 64 divisors (see below), whose sum is σ = 255767268556800. Its totient is φ = 189365477446656.

The previous prime is 221122222100999. The next prime is 221122222101029. The reversal of 221122222101001 is 100101222221122.

It is a cyclic number.

It is not a de Polignac number, because 221122222101001 - 21 = 221122222100999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221122222101001.

It is not an unprimeable number, because it can be changed into a prime (221122222101061) 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, 2797594840 + ... + 2797673878.

It is an arithmetic number, because the mean of its divisors is an integer number (3996363571200).

Almost surely, 2221122222101001 is an apocalyptic number.

It is an amenable number.

221122222101001 is a deficient number, since it is larger than the sum of its proper divisors (34645046455799).

221122222101001 is a wasteful number, since it uses less digits than its factorization.

221122222101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79838.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122222101001 its reverse (100101222221122), we get a palindrome (321223444322123).

The spelling of 221122222101001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, one".

Divisors: 1 13 17 127 221 263 379 1651 2159 3419 4471 4927 6443 28067 33401 48133 58123 79039 83759 99677 434213 567817 625729 818261 1027507 1295801 1343663 1694509 7381621 10037953 10637393 12658979 17467619 20787257 22028617 29955781 130493389 164566727 170645201 215202643 270234341 353383369 389425153 509248277 2218387613 2639981639 2797634359 3804384187 4593983797 6620227601 7878370403 34319761307 44879687863 49456994431 64674531179 102418815239 133932296851 583435942219 840768905327 1000553041181 1741119859063 13007189535353 17009401700077 221122222101001