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11001211300 = 2252110012113
BaseRepresentation
bin10100011111011100…
…10010100110100100
31001101200201102211101
422033232102212210
5140012302230200
65015350045444
7536422516222
oct121756224644
931350642741
1011001211300
114735995972
122170349884
13106425cab1
14765107b12
15445c2d26a
hex28fb929a4

11001211300 has 18 divisors (see below), whose sum is σ = 23872628738. Its totient is φ = 4400484480.

The previous prime is 11001211279. The next prime is 11001211303. The reversal of 11001211300 is 311210011.

11001211300 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 211818916 + 10789392384 = 14554^2 + 103872^2 .

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 (11001211303) 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, 55005957 + ... + 55006156.

Almost surely, 211001211300 is an apocalyptic number.

11001211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001211300 is an abundant number, since it is smaller than the sum of its proper divisors (12871417438).

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

11001211300 is a wasteful number, since it uses less digits than its factorization.

11001211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110012127 (or 110012120 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11001211300 its reverse (311210011), we get a palindrome (11312421311).

The spelling of 11001211300 in words is "eleven billion, one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110012113 220024226 440048452 550060565 1100121130 2200242260 2750302825 5500605650 11001211300