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110102323102020 = 223251152495307461
BaseRepresentation
bin11001000010001100110001…
…110110111000000101000100
3112102211200100012111221020100
4121002030301312320011010
5103412404024203231040
61030100150423004100
732122426130525334
oct3102146166700504
9472750305457210
10110102323102020
113209a151036217
1210422699299630
1349587b2184382
141d28da37250c4
15cae032883b30
hex642331db8144

110102323102020 has 72 divisors (see below), whose sum is σ = 333980007543000. Its totient is φ = 29360359203840.

The previous prime is 110102323101983. The next prime is 110102323102021. The reversal of 110102323102020 is 20201323201011.

110102323102020 is a `hidden beast` number, since 1 + 101 + 0 + 232 + 310 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493107310656 + 109609215791364 = 702216^2 + 10469442^2 .

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 = 110102323101984 and 110102323102002.

It is not an unprimeable number, because it can be changed into a prime (110102323102021) 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 23 ways as a sum of consecutive naturals, for example, 18091090 + ... + 23398550.

It is an arithmetic number, because the mean of its divisors is an integer number (4638611215875).

Almost surely, 2110102323102020 is an apocalyptic number.

110102323102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102323102020 is an abundant number, since it is smaller than the sum of its proper divisors (223877684440980).

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

110102323102020 is a wasteful number, since it uses less digits than its factorization.

110102323102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422725 (or 5422720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110102323102020 its reverse (20201323201011), we get a palindrome (130303646303031).

The spelling of 110102323102020 in words is "one hundred ten trillion, one hundred two billion, three hundred twenty-three million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 115249 230498 345747 460996 576245 691494 1037241 1152490 1382988 1728735 2074482 2304980 3457470 4148964 5186205 5307461 6914940 10372410 10614922 15922383 20744820 21229844 26537305 31844766 47767149 53074610 63689532 79611915 95534298 106149220 159223830 191068596 238835745 318447660 477671490 955342980 611679572789 1223359145578 1835038718367 2446718291156 3058397863945 3670077436734 5505116155101 6116795727890 7340154873468 9175193591835 11010232310202 12233591455780 18350387183670 22020464620404 27525580775505 36700774367340 55051161551010 110102323102020