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11144111042031 = 3114115154546977
BaseRepresentation
bin1010001000101011000011…
…0001111010110111101111
31110110100220021000010112120
42202022300301322313233
52430041114411321111
635411311155204023
72230064313631032
oct242126061726757
943410807003476
1011144111042031
11360721117a850
1212bb9782a6613
1362ab679161a6
142a7540b81019
15144d3d287406
hexa22b0c7adef

11144111042031 has 32 divisors (see below), whose sum is σ = 16714939562496. Its totient is φ = 6545637120000.

The previous prime is 11144111042027. The next prime is 11144111042047. The reversal of 11144111042031 is 13024011144111.

It is a happy number.

It is not a de Polignac number, because 11144111042031 - 22 = 11144111042027 is a prime.

It is a super-2 number, since 2×111441110420312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11144111041992 and 11144111042010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144111049031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27069186 + ... + 27477791.

It is an arithmetic number, because the mean of its divisors is an integer number (522341861328).

Almost surely, 211144111042031 is an apocalyptic number.

11144111042031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144111042031 is a deficient number, since it is larger than the sum of its proper divisors (5570828520465).

11144111042031 is a wasteful number, since it uses less digits than its factorization.

11144111042031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54547183.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11144111042031 its reverse (13024011144111), we get a palindrome (24168122186142).

The spelling of 11144111042031 in words is "eleven trillion, one hundred forty-four billion, one hundred eleven million, forty-two thousand, thirty-one".

Divisors: 1 3 11 33 41 123 151 451 453 1353 1661 4983 6191 18573 68101 204303 54546977 163640931 600016747 1800050241 2236426057 6709278171 8236593527 24600686627 24709780581 73802059881 90602528797 271807586391 337700334607 1013101003821 3714703680677 11144111042031