Search a number
-
+
111110111000020 = 22511971520129721
BaseRepresentation
bin11001010000110111010110…
…101100100111010111010100
3112120102000121200020120101001
4121100313112230213113110
5104030412001404000040
61032151140315113044
732255304062364346
oct3120672654472724
9476360550216331
10111110111000020
1132448596030150
1210565a73442784
1349cc83ba5c482
141d61a881c3296
15cca367b9a59a
hex650dd6b275d4

111110111000020 has 48 divisors (see below), whose sum is σ = 254805309251136. Its totient is φ = 40362066272000.

The previous prime is 111110110999963. The next prime is 111110111000027. The reversal of 111110111000020 is 20000111011111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111110110999970 and 111110111000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110111000027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259851241 + ... + 260278480.

It is an arithmetic number, because the mean of its divisors is an integer number (5308443942732).

Almost surely, 2111110111000020 is an apocalyptic number.

111110111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111110111000020 is an abundant number, since it is smaller than the sum of its proper divisors (143695198251116).

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

111110111000020 is a wasteful number, since it uses less digits than its factorization.

111110111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520130712 (or 520130710 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111110111000020 its reverse (20000111011111), we get a palindrome (131110222011131).

It can be divided in two parts, 1111101 and 11000020, that added together give a palindrome (12111121).

The spelling of 111110111000020 in words is "one hundred eleven trillion, one hundred ten billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 971 1942 3884 4855 9710 10681 19420 21362 42724 53405 106810 213620 520129721 1040259442 2080518884 2600648605 5201297210 5721426931 10402594420 11442853862 22885707724 28607134655 57214269310 114428538620 505045959091 1010091918182 2020183836364 2525229795455 5050459590910 5555505550001 10100919181820 11111011100002 22222022200004 27777527750005 55555055500010 111110111000020