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11013111131 = 116714943163
BaseRepresentation
bin10100100000110111…
…01011110101011011
31001102112010000022212
422100123223311123
5140023324024011
65020453105335
7536625620501
oct122033536533
931375100285
1011013111131
114741683440
12217432824b
131066868309
14766924671
15446cce08b
hex2906ebd5b

11013111131 has 8 divisors (see below), whose sum is σ = 12193621824. Its totient is φ = 9862486920.

The previous prime is 11013111077. The next prime is 11013111143. The reversal of 11013111131 is 13111131011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-11013111131 is a prime.

It is a super-3 number, since 3×110131111313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11013111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7470845 + ... + 7472318.

It is an arithmetic number, because the mean of its divisors is an integer number (1524202728).

Almost surely, 211013111131 is an apocalyptic number.

11013111131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11013111131 is a deficient number, since it is larger than the sum of its proper divisors (1180510693).

11013111131 is a wasteful number, since it uses less digits than its factorization.

11013111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943241.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 11013111131 its reverse (13111131011), we get a palindrome (24124242142).

The spelling of 11013111131 in words is "eleven billion, thirteen million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 11 67 737 14943163 164374793 1001191921 11013111131