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220110110200002 = 231189137911300239
BaseRepresentation
bin110010000011000001100000…
…111011100001000011000010
31001212100022200000212021120210
4302003001200323201003002
5212322241001202400002
62100045104431214550
764235300502523611
oct6203014073410302
91055308600767523
10220110110200002
116415219aa49380
122082a992677456
1395a83a9844bc9
143c4d55994d878
151a6a880a3996c
hexc83060ee10c2

220110110200002 has 128 divisors (see below), whose sum is σ = 489719590502400. Its totient is φ = 65397120588800.

The previous prime is 220110110199983. The next prime is 220110110200003. The reversal of 220110110200002 is 200002011011022.

It is a super-2 number, since 2×2201101102000022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220110110200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732966199 + ... + 733266437.

It is an arithmetic number, because the mean of its divisors is an integer number (3825934300800).

Almost surely, 2220110110200002 is an apocalyptic number.

220110110200002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220110110200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244859795251200).

220110110200002 is an abundant number, since it is smaller than the sum of its proper divisors (269609480302398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220110110200002 is a wasteful number, since it uses less digits than its factorization.

220110110200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301392.

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

Adding to 220110110200002 its reverse (200002011011022), we get a palindrome (420112121211024).

The spelling of 220110110200002 in words is "two hundred twenty trillion, one hundred ten billion, one hundred ten million, two hundred thousand, two".

Divisors: 1 2 3 6 11 22 33 66 89 137 178 267 274 411 534 822 911 979 1507 1822 1958 2733 2937 3014 4521 5466 5874 9042 10021 12193 20042 24386 30063 36579 60126 73158 81079 124807 134123 162158 243237 249614 268246 300239 374421 402369 486474 600478 748842 804738 891869 900717 1372877 1783738 1801434 2675607 2745754 3302629 4118631 5351214 6605258 8237262 9907887 11107823 19815774 22215646 26721271 33323469 41132743 53442542 66646938 80163813 82265486 122186053 123398229 160327626 244372106 246796458 273517729 293933981 366558159 452460173 547035458 587867962 733116318 820553187 881801943 904920346 1357380519 1641106374 1763603886 2714761038 3008695019 3660814127 6017390038 7321628254 9026085057 10982442381 18052170114 21964884762 24343077881 37471928873 40268955397 48686155762 73029233643 74943857746 80537910794 112415786619 120806866191 146058467286 224831573238 241613732382 267773856691 412191217603 535547713382 803321570073 824382435206 1236573652809 1606643140146 2473147305618 3335001669697 6670003339394 10005005009091 20010010018182 36685018366667 73370036733334 110055055100001 220110110200002