Search a number
-
+
111100002020 = 225721011122449
BaseRepresentation
bin110011101111000010…
…0110111111011100100
3101121202202020212110122
41213132010313323210
53310013100031040
6123012202341112
711012106302300
oct1473604677344
9347682225418
10111100002020
1143132066997
12196471ba798
13a62737b787
14553d322d00
152d5397e1b5
hex19de137ee4

111100002020 has 72 divisors (see below), whose sum is σ = 274088820600. Its totient is φ = 37714252800.

The previous prime is 111100002007. The next prime is 111100002059. The reversal of 111100002020 is 20200001111.

It can be written as a sum of positive squares in 4 ways, for example, as 51813595876 + 59286406144 = 227626^2 + 243488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111100001989 and 111100002007.

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, 462245 + ... + 660204.

It is an arithmetic number, because the mean of its divisors is an integer number (3806789175).

Almost surely, 2111100002020 is an apocalyptic number.

111100002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100002020 is an abundant number, since it is smaller than the sum of its proper divisors (162988818580).

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

111100002020 is a wasteful number, since it uses less digits than its factorization.

111100002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122573 (or 1122564 counting only the distinct ones).

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

Adding to 111100002020 its reverse (20200001111), we get a palindrome (131300003131).

Subtracting from 111100002020 its reverse (20200001111), we obtain a palindrome (90900000909).

The spelling of 111100002020 in words is "one hundred eleven billion, one hundred million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 1122449 2244898 4489796 5612245 7857143 11224490 15714286 22448980 31428572 39285715 55000001 78571430 110000002 113367349 157142860 220000004 226734698 275000005 453469396 550000010 566836745 793571443 1100000020 1133673490 1587142886 2267346980 3174285772 3967857215 5555000101 7935714430 11110000202 15871428860 22220000404 27775000505 55550001010 111100002020