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11244444211 = 7112136116741
BaseRepresentation
bin10100111100011100…
…01001101000110011
31002000122101221122201
422132032021220303
5141012034203321
65055435244031
7545435125120
oct123616115063
932018357581
1011244444211
114850217400
1222198a9617
1310a27732b0
14789541747
1545c277291
hex29e389a33

11244444211 has 48 divisors (see below), whose sum is σ = 15462107584. Its totient is φ = 7954848000.

The previous prime is 11244444191. The next prime is 11244444221.

11244444211 is nontrivially palindromic in base 10.

11244444211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11244444211 - 25 = 11244444179 is a prime.

It is a super-2 number, since 2×112444442112 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11244444211.

It is not an unprimeable number, because it can be changed into a prime (11244444221) 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 47 ways as a sum of consecutive naturals, for example, 663301 + ... + 680041.

Almost surely, 211244444211 is an apocalyptic number.

11244444211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11244444211 is a deficient number, since it is larger than the sum of its proper divisors (4217663373).

11244444211 is a wasteful number, since it uses less digits than its factorization.

11244444211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16844 (or 16833 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The spelling of 11244444211 in words is "eleven billion, two hundred forty-four million, four hundred forty-four thousand, two hundred eleven".

Divisors: 1 7 11 13 61 77 91 121 143 427 671 793 847 1001 1573 4697 5551 7381 8723 11011 16741 51667 61061 95953 117187 184151 217633 671671 1021201 1289057 1523431 2025661 2393963 7148407 11233211 13275613 14179627 16757741 26333593 78632477 92929291 123565321 146031743 184335151 864957247 1022222201 1606349173 11244444211