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11105040431 = 131311927179
BaseRepresentation
bin10100101011110100…
…10111100000101111
31001122221002111121202
422111322113200233
5140220342243211
65033535320115
7542123200112
oct122572274057
931587074552
1011105040431
114789562271
12219b08003b
13107c914454
14774c14579
1544eddc53b
hex295e9782f

11105040431 has 8 divisors (see below), whose sum is σ = 11193811200. Its totient is φ = 11016330520.

The previous prime is 11105040413. The next prime is 11105040469. The reversal of 11105040431 is 13404050111.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 11105040431 - 218 = 11104778287 is a prime.

It is a super-2 number, since 2×111050404312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107040431) 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, 395000 + ... + 422178.

It is an arithmetic number, because the mean of its divisors is an integer number (1399226400).

Almost surely, 211105040431 is an apocalyptic number.

11105040431 is a deficient number, since it is larger than the sum of its proper divisors (88770769).

11105040431 is a wasteful number, since it uses less digits than its factorization.

11105040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30429.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11105040431 its reverse (13404050111), we get a palindrome (24509090542).

The spelling of 11105040431 in words is "eleven billion, one hundred five million, forty thousand, four hundred thirty-one".

Divisors: 1 131 3119 27179 408589 3560449 84771301 11105040431