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122011110221 = 711135911031873
BaseRepresentation
bin111000110100001101…
…1011100101101001101
3102122221011102121002012
41301220123130231031
53444334321011341
6132015013311005
711546356216340
oct1615033345515
9378834377065
10122011110221
11478210aaa90
121b791335465
13b675a51710
145c96494457
1532918100eb
hex1c686dcb4d

122011110221 has 64 divisors (see below), whose sum is σ = 166835773440. Its totient is φ = 86148541440.

The previous prime is 122011110187. The next prime is 122011110223.

122011110221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122011110221 - 210 = 122011109197 is a prime.

It is a super-2 number, since 2×1220111102212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122011110196 and 122011110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011110223) 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, 65141141 + ... + 65143013.

It is an arithmetic number, because the mean of its divisors is an integer number (2606808960).

Almost surely, 2122011110221 is an apocalyptic number.

122011110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011110221 is a deficient number, since it is larger than the sum of its proper divisors (44824663219).

122011110221 is a wasteful number, since it uses less digits than its factorization.

122011110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 122011 and 110221, that added together give a palindrome (232232).

The spelling of 122011110221 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 1103 1873 4543 5369 7721 8437 12133 13111 14339 20603 24349 59059 65077 84931 100373 110507 144221 157729 170443 267839 455539 715847 773549 846001 1104103 1215577 1436591 1874873 2065919 5010929 5922007 8509039 9306011 10056137 14461433 15802501 22725109 26856947 65142077 110617507 121889221 159075763 187998629 295426417 853224547 1340781431 1584559873 2067984919 9385470017 11091919111 17430158603 122011110221