Search a number
-
+
11000012200 = 2352235345119
BaseRepresentation
bin10100011111010011…
…01101110110101000
31001101121110111222021
422033221231312220
5140012000342300
65015304234224
7536406363262
oct121751556650
931347414867
1011000012200
114735246a81
12216ba6b974
131063c30078
14764cb4b32
15445a92d1a
hex28fa6dda8

11000012200 has 96 divisors (see below), whose sum is σ = 27191116800. Its totient is φ = 4129199360.

The previous prime is 11000012167. The next prime is 11000012201. The reversal of 11000012200 is 221000011.

It is not an unprimeable number, because it can be changed into a prime (11000012201) 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, 221241 + ... + 266359.

It is an arithmetic number, because the mean of its divisors is an integer number (283240800).

Almost surely, 211000012200 is an apocalyptic number.

11000012200 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 11000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595558400).

11000012200 is an abundant number, since it is smaller than the sum of its proper divisors (16191104600).

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

11000012200 is a wasteful number, since it uses less digits than its factorization.

11000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45211 (or 45202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11000012200 its reverse (221000011), we get a palindrome (11221012211).

The spelling of 11000012200 in words is "eleven billion, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 53 92 100 106 115 184 200 212 230 265 424 460 530 575 920 1060 1150 1219 1325 2120 2300 2438 2650 4600 4876 5300 6095 9752 10600 12190 24380 30475 45119 48760 60950 90238 121900 180476 225595 243800 360952 451190 902380 1037737 1127975 1804760 2075474 2255950 2391307 4150948 4511900 4782614 5188685 8301896 9023800 9565228 10377370 11956535 19130456 20754740 23913070 25943425 41509480 47826140 51886850 55000061 59782675 95652280 103773700 110000122 119565350 207547400 220000244 239130700 275000305 440000488 478261400 550000610 1100001220 1375001525 2200002440 2750003050 5500006100 11000012200