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110322212110020 = 223254114948809229
BaseRepresentation
bin11001000101011001100100…
…010000110111111011000100
3112110121200220122110220120200
4121011121210100313323010
5103430004342300010040
61030345154035330500
732144342155333401
oct3105314420677304
9473550818426520
10110322212110020
1132174429707509
1210459225750a30
134973455b89421
141d358a30792a8
15cb4b01e4c630
hex645664437ec4

110322212110020 has 72 divisors (see below), whose sum is σ = 342806093262360. Its totient is φ = 28701713717760.

The previous prime is 110322212109971. The next prime is 110322212110037. The reversal of 110322212110020 is 20011212223011.

110322212110020 is a `hidden beast` number, since 1 + 1 + 0 + 322 + 212 + 110 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10422347029956 + 99899865080064 = 3228366^2 + 9994992^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110322212109975 and 110322212110002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7474397235 + ... + 7474411994.

It is an arithmetic number, because the mean of its divisors is an integer number (4761195739755).

Almost surely, 2110322212110020 is an apocalyptic number.

110322212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110322212110020 is an abundant number, since it is smaller than the sum of its proper divisors (232483881152340).

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

110322212110020 is a wasteful number, since it uses less digits than its factorization.

110322212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14948809285 (or 14948809280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110322212110020 its reverse (20011212223011), we get a palindrome (130333424333031).

The spelling of 110322212110020 in words is "one hundred ten trillion, three hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 14948809229 29897618458 44846427687 59795236916 74744046145 89692855374 134539283061 149488092290 179385710748 224232138435 269078566122 298976184580 448464276870 538157132244 612901178389 672696415305 896928553740 1225802356778 1345392830610 1838703535167 2451604713556 2690785661220 3064505891945 3677407070334 5516110605501 6129011783890 7354814140668 9193517675835 11032221211002 12258023567780 18387035351670 22064442422004 27580553027505 36774070703340 55161106055010 110322212110020