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11000013138 = 233203703947
BaseRepresentation
bin10100011111010011…
…01110000101010010
31001101121110120021000
422033221232011102
5140012000410023
65015304242430
7536406366102
oct121751560522
931347416230
1011000013138
114735247754
12216ba70416
131063c3061a
14764cb5202
15445a93243
hex28fa6e152

11000013138 has 16 divisors (see below), whose sum is σ = 24444473760. Its totient is φ = 3666671028.

The previous prime is 11000013071. The next prime is 11000013139. The reversal of 11000013138 is 83131000011.

It is a happy number.

11000013138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11000013138.

It is not an unprimeable number, because it can be changed into a prime (11000013139) 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 7 ways as a sum of consecutive naturals, for example, 101851920 + ... + 101852027.

It is an arithmetic number, because the mean of its divisors is an integer number (1527779610).

Almost surely, 211000013138 is an apocalyptic number.

11000013138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11000013138 is an abundant number, since it is smaller than the sum of its proper divisors (13444460622).

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

11000013138 is a wasteful number, since it uses less digits than its factorization.

11000013138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203703958 (or 203703952 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11000013138 its reverse (83131000011), we get a palindrome (94131013149).

The spelling of 11000013138 in words is "eleven billion, thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 203703947 407407894 611111841 1222223682 1833335523 3666671046 5500006569 11000013138