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11114113023 = 32131959101839
BaseRepresentation
bin10100101100111001…
…11110011111111111
31001200120011102212200
422112130332133333
5140230203104043
65034502002543
7542263254606
oct122634763777
931616142780
1011114113023
114793699682
1221a2116453
13108176cb50
147760d6a3d
15450ad07d3
hex29673e7ff

11114113023 has 96 divisors (see below), whose sum is σ = 18712512000. Its totient is φ = 6299078400.

The previous prime is 11114112991. The next prime is 11114113037. The reversal of 11114113023 is 32031141111.

It is a happy number.

It is not a de Polignac number, because 11114113023 - 25 = 11114112991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11114112987 and 11114113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114114023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13246438 + ... + 13247276.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 211114113023 is an apocalyptic number.

11114113023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11114113023 is a deficient number, since it is larger than the sum of its proper divisors (7598398977).

11114113023 is a wasteful number, since it uses less digits than its factorization.

11114113023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11114113023 its reverse (32031141111), we get a palindrome (43145254134).

The spelling of 11114113023 in words is "eleven billion, one hundred fourteen million, one hundred thirteen thousand, twenty-three".

Divisors: 1 3 9 13 19 39 57 59 101 117 171 177 247 303 531 741 767 839 909 1121 1313 1919 2223 2301 2517 3363 3939 5757 5959 6903 7551 10089 10907 11817 14573 15941 17271 17877 24947 32721 43719 47823 49501 53631 74841 77467 84739 98163 113221 131157 143469 148503 207233 224523 232401 254217 339663 445509 621699 643513 697203 762651 940519 1018989 1101607 1471873 1610041 1865097 1930539 2821557 3304821 4415619 4830123 4999601 5791617 8464671 9914463 12226747 13246857 14490369 14998803 20930533 36680241 44996409 62791599 64994813 94992419 110040723 188374797 194984439 284977257 584953317 854931771 1234901447 3704704341 11114113023