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11013101300 = 2252110131013
BaseRepresentation
bin10100100000110111…
…01001011011110100
31001102112002111211202
422100123221123310
5140023323220200
65020452552032
7536625550025
oct122033513364
931375074752
1011013101300
114741677013
122174322618
1310668639b6
14766920c4c
15446ccb1d5
hex2906e96f4

11013101300 has 18 divisors (see below), whose sum is σ = 23898430038. Its totient is φ = 4405240480.

The previous prime is 11013101299. The next prime is 11013101303. The reversal of 11013101300 is 310131011.

It is a happy number.

11013101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 182952676 + 10830148624 = 13526^2 + 104068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013101303) 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 5 ways as a sum of consecutive naturals, for example, 55065407 + ... + 55065606.

Almost surely, 211013101300 is an apocalyptic number.

11013101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11013101300 is an abundant number, since it is smaller than the sum of its proper divisors (12885328738).

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

11013101300 is a wasteful number, since it uses less digits than its factorization.

11013101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110131027 (or 110131020 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11013101300 its reverse (310131011), we get a palindrome (11323232311).

The spelling of 11013101300 in words is "eleven billion, thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110131013 220262026 440524052 550655065 1101310130 2202620260 2753275325 5506550650 11013101300