Search a number
-
+
1111100200200 = 233252837437083
BaseRepresentation
bin10000001010110010101…
…110111001010100001000
310221012221111001100210200
4100022302232321110020
5121201013122401300
62210233221212200
7143163045605154
oct20126256712410
93835844040720
101111100200200
11399240107771
1215b409261060
1380a126b6583
143bac57bc064
151dd80234200
hex102b2bb9508

1111100200200 has 144 divisors (see below), whose sum is σ = 3776402513520. Its totient is φ = 292723547520.

The previous prime is 1111100200169. The next prime is 1111100200201. The reversal of 1111100200200 is 20020011111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1111100200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3569142 + ... + 3867941.

It is an arithmetic number, because the mean of its divisors is an integer number (26225017455).

Almost surely, 21111100200200 is an apocalyptic number.

1111100200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111100200200 is an abundant number, since it is smaller than the sum of its proper divisors (2665302313320).

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

1111100200200 is a wasteful number, since it uses less digits than its factorization.

1111100200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437188 (or 7437176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1111100200200 its reverse (20020011111), we get a palindrome (1131120211311).

The spelling of 1111100200200 in words is "one trillion, one hundred eleven billion, one hundred million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 300 332 360 415 450 498 600 664 747 830 900 996 1245 1494 1660 1800 1992 2075 2490 2988 3320 3735 4150 4980 5976 6225 7470 8300 9960 12450 14940 16600 18675 24900 29880 37350 49800 74700 149400 7437083 14874166 22311249 29748332 37185415 44622498 59496664 66933747 74370830 89244996 111556245 133867494 148741660 178489992 185927075 223112490 267734988 297483320 334668735 371854150 446224980 535469976 557781225 617277889 669337470 743708300 892449960 1115562450 1234555778 1338674940 1487416600 1673343675 1851833667 2231124900 2469111556 2677349880 3086389445 3346687350 3703667334 4462249800 4938223112 5555501001 6172778890 6693374700 7407334668 9259168335 11111002002 12345557780 13386749400 14814669336 15431947225 18518336670 22222004004 24691115560 27777505005 30863894450 37036673340 44444008008 46295841675 55555010010 61727788900 74073346680 92591683350 111110020020 123455577800 138887525025 185183366700 222220040040 277775050050 370366733400 555550100100 1111100200200