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20100000110120 = 2357225739903121
BaseRepresentation
bin1001001000111111001010…
…10111011101011000101000
32122011112121120022102221222
410210133211113131120220
510113304300012010440
6110425451303321212
74143114511646300
oct444374527353050
978145546272858
1020100000110120
11644a3a9068947
122307621450208
13b2a563b31628
144d6bb930a600
1524cca90e32b5
hex1247e55dd628

20100000110120 has 96 divisors (see below), whose sum is σ = 52813378091880. Its totient is φ = 6864613539840.

The previous prime is 20100000110083. The next prime is 20100000110123. The reversal of 20100000110120 is 2101100000102.

It can be written as a sum of positive squares in 4 ways, for example, as 18196930197796 + 1903069912324 = 4265786^2 + 1379518^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20100000110098 and 20100000110107.

It is not an unprimeable number, because it can be changed into a prime (20100000110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19447841 + ... + 20455280.

Almost surely, 220100000110120 is an apocalyptic number.

20100000110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100000110120 is an abundant number, since it is smaller than the sum of its proper divisors (32713377981760).

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

20100000110120 is a wasteful number, since it uses less digits than its factorization.

20100000110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39903403 (or 39903392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100000110120 its reverse (2101100000102), we get a palindrome (22201100110222).

The spelling of 20100000110120 in words is "twenty trillion, one hundred billion, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 257 280 392 490 514 980 1028 1285 1799 1960 2056 2570 3598 5140 7196 8995 10280 12593 14392 17990 25186 35980 50372 62965 71960 100744 125930 251860 503720 39903121 79806242 159612484 199515605 279321847 319224968 399031210 558643694 798062420 1117287388 1396609235 1596124840 1955252929 2234574776 2793218470 3910505858 5586436940 7821011716 9776264645 10255102097 11172873880 15642023432 19552529290 20510204194 39105058580 41020408388 51275510485 71785714679 78210117160 82040816776 102551020970 143571429358 205102041940 287142858716 358928573395 410204083880 502500002753 574285717432 717857146790 1005000005506 1435714293580 2010000011012 2512500013765 2871428587160 4020000022024 5025000027530 10050000055060 20100000110120