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11132103101111 = 172323173904931
BaseRepresentation
bin1010000111111110010100…
…0011010000101010110111
31110102012220101221112021222
42201333211003100222313
52424342021343213421
635402003443300555
72226160615051646
oct241774503205267
943365811845258
1011132103101111
113602109a95033
1212b958697a75b
136299a2c310c5
142a6b2209735d
15144888e98cab
hexa1fe50d0ab7

11132103101111 has 24 divisors (see below), whose sum is σ = 12360562414704. Its totient is φ = 9990122996480.

The previous prime is 11132103101107. The next prime is 11132103101113. The reversal of 11132103101111 is 11110130123111.

It is a happy number.

It is not a de Polignac number, because 11132103101111 - 22 = 11132103101107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11132103101111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132103101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898316 + ... + 4803246.

It is an arithmetic number, because the mean of its divisors is an integer number (515023433946).

Almost surely, 211132103101111 is an apocalyptic number.

11132103101111 is a deficient number, since it is larger than the sum of its proper divisors (1228459313593).

11132103101111 is a wasteful number, since it uses less digits than its factorization.

11132103101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905311 (or 3905288 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 11132103101111 its reverse (11110130123111), we get a palindrome (22242233224222).

The spelling of 11132103101111 in words is "eleven trillion, one hundred thirty-two billion, one hundred three million, one hundred one thousand, one hundred eleven".

Divisors: 1 17 23 317 391 529 5389 7291 8993 123947 167693 2850781 3904931 66383827 89813413 1237863127 1526828021 2065708499 21043673159 28470851921 35117044483 484004482657 654829594183 11132103101111