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110022112021220 = 225719917332278769
BaseRepresentation
bin11001000001000010000100…
…111001111000101011100100
3112102120000022011012211210222
4121001002010321320223210
5103410100241134134340
61025555243245103512
732113556333555660
oct3101020471705344
9472500264184728
10110022112021220
113206912aa68aa3
121040b032857b98
13495106b3b5799
141d251549218a0
15cabddaabc8b5
hex641084e78ae4

110022112021220 has 96 divisors (see below), whose sum is σ = 265533218496000. Its totient is φ = 37510635976704.

The previous prime is 110022112021207. The next prime is 110022112021223. The reversal of 110022112021220 is 22120211220011.

It is not an unprimeable number, because it can be changed into a prime (110022112021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47141996 + ... + 49420764.

It is an arithmetic number, because the mean of its divisors is an integer number (2765971026000).

Almost surely, 2110022112021220 is an apocalyptic number.

110022112021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022112021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132766609248000).

110022112021220 is an abundant number, since it is smaller than the sum of its proper divisors (155511106474780).

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

110022112021220 is a wasteful number, since it uses less digits than its factorization.

110022112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280717 (or 2280715 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 110022112021220 its reverse (22120211220011), we get a palindrome (132142323241231).

The spelling of 110022112021220 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1733 1990 2786 3466 3980 5572 6932 6965 8665 12131 13930 17330 24262 27860 34660 48524 60655 121310 242620 344867 689734 1379468 1724335 2278769 2414069 3448670 4557538 4828138 6897340 9115076 9656276 11393845 12070345 15951383 22787690 24140690 31902766 45575380 48281380 63805532 79756915 159513830 319027660 453475031 906950062 1813900124 2267375155 3174325217 3949106677 4534750310 6348650434 7898213354 9069500620 12697300868 15796426708 15871626085 19745533385 27643746739 31743252170 39491066770 55287493478 63486504340 78982133540 110574986956 138218733695 276437467390 552874934780 785872228723 1571744457446 3143488914892 3929361143615 5501105601061 7858722287230 11002211202122 15717444574460 22004422404244 27505528005305 55011056010610 110022112021220