Search a number
-
+
11101002200 = 2352673732221
BaseRepresentation
bin10100101011010101…
…11101100111011000
31001122122111100012122
422111222331213120
5140213324032300
65033313000412
7542043650621
oct122552754730
931578440178
1011101002200
114787254292
122199853108
13107bb2c372
14774482a48
1544e890c85
hex295abd9d8

11101002200 has 96 divisors (see below), whose sum is σ = 26277105360. Its totient is φ = 4360435200.

The previous prime is 11101002151. The next prime is 11101002203. The reversal of 11101002200 is 220010111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101002203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4997090 + ... + 4999310.

Almost surely, 211101002200 is an apocalyptic number.

11101002200 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 11101002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138552680).

11101002200 is an abundant number, since it is smaller than the sum of its proper divisors (15176103160).

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

11101002200 is a wasteful number, since it uses less digits than its factorization.

11101002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2668 counting only the distinct ones).

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

Adding to 11101002200 its reverse (220010111), we get a palindrome (11321012311).

The spelling of 11101002200 in words is "eleven billion, one hundred one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 373 536 670 746 1340 1492 1675 1865 2221 2680 2984 3350 3730 4442 6700 7460 8884 9325 11105 13400 14920 17768 18650 22210 24991 37300 44420 49982 55525 74600 88840 99964 111050 124955 148807 199928 222100 249910 297614 444200 499820 595228 624775 744035 828433 999640 1190456 1249550 1488070 1656866 2499100 2976140 3313732 3720175 4142165 4998200 5952280 6627464 7440350 8284330 14880700 16568660 20710825 29761400 33137320 41421650 55505011 82843300 111010022 165686600 222020044 277525055 444040088 555050110 1110100220 1387625275 2220200440 2775250550 5550501100 11101002200