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110211212120020 = 2251119181145670269
BaseRepresentation
bin11001000011110010001100…
…001001100000111111010100
3112110020002101212102011210221
4121003302030021200333110
5103421200030300320040
61030222155404324124
732133332402103244
oct3103621411407724
9473202355364727
10110211212120020
1132131349050090
121043b807b43644
134965b46456a7b
141d3037314bb24
15cb1ca717674a
hex643c8c260fd4

110211212120020 has 96 divisors (see below), whose sum is σ = 267240850531200. Its totient is φ = 37757733465600.

The previous prime is 110211212120003. The next prime is 110211212120029. The reversal of 110211212120020 is 20021212112011.

It is a super-2 number, since 2×1102112121200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110211212119976 and 110211212120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110211212120029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72078555 + ... + 73591714.

It is an arithmetic number, because the mean of its divisors is an integer number (2783758859700).

Almost surely, 2110211212120020 is an apocalyptic number.

110211212120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211212120020 is an abundant number, since it is smaller than the sum of its proper divisors (157029638411180).

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

110211212120020 is a wasteful number, since it uses less digits than its factorization.

110211212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145670489 (or 145670487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110211212120020 its reverse (20021212112011), we get a palindrome (130232424232031).

The spelling of 110211212120020 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 181 190 209 220 362 380 418 724 836 905 1045 1810 1991 2090 3439 3620 3982 4180 6878 7964 9955 13756 17195 19910 34390 37829 39820 68780 75658 151316 189145 378290 756580 145670269 291340538 582681076 728351345 1456702690 1602372959 2767735111 2913405380 3204745918 5535470222 6409491836 8011864795 11070940444 13838675555 16023729590 26366318689 27677351110 30445086221 32047459180 52732637378 55354702220 60890172442 105465274756 121780344884 131831593445 152225431105 263663186890 290029505579 304450862210 500960055091 527326373780 580059011158 608901724420 1001920110182 1160118022316 1450147527895 2003840220364 2504800275455 2900295055790 5009600550910 5510560606001 5800590111580 10019201101820 11021121212002 22042242424004 27552803030005 55105606060010 110211212120020