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221100020011222 = 2112373101137432587
BaseRepresentation
bin110010010001011011011100…
…001001110001000011010110
31001222211221210112211000012021
4302101123130021301003112
5212440000320110324342
62102123540314043354
764366643416220632
oct6221333411610326
91058757715730167
10221100020011222
11644a3aa025a080
122096a7b941955a
13964a847536431
143c85425c77dc2
151a864bb52a567
hexc916dc2710d6

221100020011222 has 128 divisors (see below), whose sum is σ = 389313253075968. Its totient is φ = 93189406464000.

The previous prime is 221100020011097. The next prime is 221100020011223. The reversal of 221100020011222 is 222110020001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221100020011196 and 221100020011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100020011223) 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, 510894813 + ... + 511327399.

It is an arithmetic number, because the mean of its divisors is an integer number (3041509789656).

Almost surely, 2221100020011222 is an apocalyptic number.

221100020011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221100020011222 is a deficient number, since it is larger than the sum of its proper divisors (168213233064746).

221100020011222 is a wasteful number, since it uses less digits than its factorization.

221100020011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432934.

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

Adding to 221100020011222 its reverse (222110020001122), we get a palindrome (443210040012344).

It can be divided in two parts, 2211000 and 20011222, that added together give a palindrome (22222222).

The spelling of 221100020011222 in words is "two hundred twenty-one trillion, one hundred billion, twenty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 11 22 23 46 73 101 137 146 202 253 274 506 803 1111 1507 1606 1679 2222 2323 3014 3151 3358 4646 6302 7373 10001 13837 14746 18469 20002 25553 27674 34661 36938 51106 69322 81103 110011 152207 162206 169579 220022 230023 304414 318251 339158 432587 460046 636502 865174 1010101 1865369 2020202 2530253 3500761 3730738 4758457 5060506 7001522 9516914 9949501 11111111 19899002 22222222 23232323 31578851 43691287 46464646 59264419 63157702 87382574 109444511 118528838 218889022 255555553 347367361 480604157 511111106 651908609 694734722 726313573 961208314 1004899601 1303817218 1363081637 1452627146 2009799202 2726163274 3189463951 4326302587 5985706319 6378927902 7989449303 8652605174 11053895611 11971412638 14993898007 15978898606 22107791222 29987796014 35084103461 47589328457 65842769509 70168206922 73357670873 95178656914 99504959501 131685539018 137671245337 146715341746 199009919002 275342490674 436956561287 806934379603 873913122574 1094554554511 1514383698707 1613868759206 2189109109022 3028767397414 4806522174157 9613044348314 10050000909601 20100001819202 110550010005611 221100020011222