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11417854331 = 1319341910861
BaseRepresentation
bin10101010001000111…
…01010000101111011
31002110201201002121202
422220203222011323
5141340432314311
65124552124415
7552642106022
oct125043520573
932421632552
1011417854331
11492a098a54
12226799670b
1310cc67a830
147a45a18b9
1546c5cce3b
hex2a88ea17b

11417854331 has 16 divisors (see below), whose sum is σ = 12390500640. Its totient is φ = 10458961920.

The previous prime is 11417854303. The next prime is 11417854351. The reversal of 11417854331 is 13345871411.

It is a happy number.

11417854331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11417854331 - 218 = 11417592187 is a prime.

It is a super-2 number, since 2×114178543312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11417854351) 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 15 ways as a sum of consecutive naturals, for example, 1045841 + ... + 1056701.

It is an arithmetic number, because the mean of its divisors is an integer number (774406290).

Almost surely, 211417854331 is an apocalyptic number.

11417854331 is a deficient number, since it is larger than the sum of its proper divisors (972646309).

11417854331 is a wasteful number, since it uses less digits than its factorization.

11417854331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486.

The product of its digits is 40320, while the sum is 38.

The spelling of 11417854331 in words is "eleven billion, four hundred seventeen million, eight hundred fifty-four thousand, three hundred thirty-one".

Divisors: 1 13 193 419 2509 5447 10861 80867 141193 1051271 2096173 4550759 27250249 59159867 878296487 11417854331