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11054431125 = 335322914303
BaseRepresentation
bin10100100101110010…
…10011101110010101
31001112101212021201000
422102321103232111
5140114413244000
65024530453513
7540640054113
oct122271235625
931471767630
1011054431125
114762a357a1
122186134299
1310722a490a
1476c1dcab3
1544a742000
hex292e53b95

11054431125 has 64 divisors (see below), whose sum is σ = 20529100800. Its totient is φ = 5869540800.

The previous prime is 11054431121. The next prime is 11054431147. The reversal of 11054431125 is 52113445011.

11054431125 is a `hidden beast` number, since 1 + 1 + 0 + 544 + 3 + 112 + 5 = 666.

It is not a de Polignac number, because 11054431125 - 22 = 11054431121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054431121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765724 + ... + 780026.

It is an arithmetic number, because the mean of its divisors is an integer number (320767200).

Almost surely, 211054431125 is an apocalyptic number.

11054431125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11054431125 is a deficient number, since it is larger than the sum of its proper divisors (9474669675).

11054431125 is a wasteful number, since it uses less digits than its factorization.

11054431125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14556 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11054431125 its reverse (52113445011), we get a palindrome (63167876136).

The spelling of 11054431125 in words is "eleven billion, fifty-four million, four hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 229 375 675 687 1125 1145 2061 3375 3435 5725 6183 10305 14303 17175 28625 30915 42909 51525 71515 85875 128727 154575 214545 257625 357575 386181 643635 772875 1072725 1787875 1930905 3218175 3275387 5363625 9654525 9826161 16090875 16376935 29478483 48272625 49130805 81884675 88435449 147392415 245654025 409423375 442177245 736962075 1228270125 2210886225 3684810375 11054431125