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11110012002020 = 22543283121337633
BaseRepresentation
bin1010000110101100000001…
…0100011001111011100100
31110100002212211122102100202
42201223000110121323210
52424011301033031040
635343511414330032
72224446311602151
oct241530024317344
943302784572322
1011110012002020
1135a3803157348
1212b5240659918
13627892263b39
142a5a281a1228
15143ee4873015
hexa1ac0519ee4

11110012002020 has 96 divisors (see below), whose sum is σ = 23978354370432. Its totient is φ = 4321637203968.

The previous prime is 11110012001981. The next prime is 11110012002059. The reversal of 11110012002020 is 2020021001111.

It is an interprime number because it is at equal distance from previous prime (11110012001981) and next prime (11110012002059).

It is a junction number, because it is equal to n+sod(n) for n = 11110012001992 and 11110012002010.

It is an unprimeable number.

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, 295201124 + ... + 295238756.

It is an arithmetic number, because the mean of its divisors is an integer number (249774524692).

Almost surely, 211110012002020 is an apocalyptic number.

11110012002020 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 11110012002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989177185216).

11110012002020 is an abundant number, since it is smaller than the sum of its proper divisors (12868342368412).

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

11110012002020 is a wasteful number, since it uses less digits than its factorization.

11110012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39181 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11110012002020 its reverse (2020021001111), we get a palindrome (13130033003131).

The spelling of 11110012002020 in words is "eleven trillion, one hundred ten billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 283 430 566 860 1132 1213 1415 2426 2830 4852 5660 6065 12130 12169 24260 24338 37633 48676 52159 60845 75266 104318 121690 150532 188165 208636 243380 260795 343279 376330 521590 686558 752660 1043180 1373116 1618219 1716395 3236438 3432790 6472876 6865580 8091095 10650139 14760997 16182190 21300278 29521994 32364380 42600556 45648829 53250695 59043988 73804985 91297658 106501390 147609970 182595316 213002780 228244145 295219940 456488290 457955977 912976580 915911954 1831823908 1962899647 2289779885 3925799294 4579559770 7851598588 9159119540 9814498235 12918618607 19628996470 25837237214 39257992940 51674474428 64593093035 129186186070 258372372140 555500600101 1111001200202 2222002400404 2777503000505 5555006001010 11110012002020