Search a number
-
+
11021120200 = 23521912631097
BaseRepresentation
bin10100100001110100…
…01111001011001000
31001110002011220201001
422100322033023020
5140032401321300
65021340504344
7540053655526
oct122072171310
931402156631
1011021120200
114746153802
122176b4b0b4
1310684108cc
14767a0b316
1544786216a
hex290e8f2c8

11021120200 has 96 divisors (see below), whose sum is σ = 25879772160. Its totient is φ = 4364710400.

The previous prime is 11021120191. The next prime is 11021120207. The reversal of 11021120200 is 202112011.

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

It is not an unprimeable number, because it can be changed into a prime (11021120207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10046052 + ... + 10047148.

It is an arithmetic number, because the mean of its divisors is an integer number (269580960).

Almost surely, 211021120200 is an apocalyptic number.

11021120200 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 11021120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939886080).

11021120200 is an abundant number, since it is smaller than the sum of its proper divisors (14858651960).

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

11021120200 is a wasteful number, since it uses less digits than its factorization.

11021120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11021120200 its reverse (202112011), we get a palindrome (11223232211).

The spelling of 11021120200 in words is "eleven billion, twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 263 382 526 764 955 1052 1097 1315 1528 1910 2104 2194 2630 3820 4388 4775 5260 5485 6575 7640 8776 9550 10520 10970 13150 19100 21940 26300 27425 38200 43880 50233 52600 54850 100466 109700 200932 209527 219400 251165 288511 401864 419054 502330 577022 838108 1004660 1047635 1154044 1255825 1442555 1676216 2009320 2095270 2308088 2511650 2885110 4190540 5023300 5238175 5770220 7212775 8381080 10046600 10476350 11540440 14425550 20952700 28851100 41905400 55105601 57702200 110211202 220422404 275528005 440844808 551056010 1102112020 1377640025 2204224040 2755280050 5510560100 11021120200