Search a number
-
+
11155201300 = 22521009110557
BaseRepresentation
bin10100110001110011…
…01101110100010100
31001210102110221101201
422120321231310110
5140321212420200
65042530402244
7543302434525
oct123071556424
931712427351
1011155201300
114804902931
1221b3a30384
13108a127b39
1477b75084c
154544e9c6a
hex298e6dd14

11155201300 has 36 divisors (see below), whose sum is σ = 24230996860. Its totient is φ = 4457617920.

The previous prime is 11155201297. The next prime is 11155201303. The reversal of 11155201300 is 310255111.

11155201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11155201297) and next prime (11155201303).

It can be written as a sum of positive squares in 6 ways, for example, as 2720248336 + 8434952964 = 52156^2 + 91842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155201303) 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 11 ways as a sum of consecutive naturals, for example, 45622 + ... + 156178.

Almost surely, 211155201300 is an apocalyptic number.

11155201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11155201300 is an abundant number, since it is smaller than the sum of its proper divisors (13075795560).

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

11155201300 is a wasteful number, since it uses less digits than its factorization.

11155201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111580 (or 111573 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 11155201300 its reverse (310255111), we get a palindrome (11465456411).

The spelling of 11155201300 in words is "eleven billion, one hundred fifty-five million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1009 2018 4036 5045 10090 20180 25225 50450 100900 110557 221114 442228 552785 1105570 2211140 2763925 5527850 11055700 111552013 223104026 446208052 557760065 1115520130 2231040260 2788800325 5577600650 11155201300