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11053011125 = 531317400109
BaseRepresentation
bin10100100101100111…
…11001000010110101
31001112022012010211102
422102303321002311
5140114032324000
65024440215445
7540622021142
oct122263710265
931468163742
1011053011125
114762155942
12218576a585
131071bc8490
1476bd4d3c9
1544a5613d5
hex292cf90b5

11053011125 has 32 divisors (see below), whose sum is σ = 15729124320. Its totient is φ = 7682073600.

The previous prime is 11053011121. The next prime is 11053011127. The reversal of 11053011125 is 52111035011.

It is a happy number.

11053011125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6084312004 + 4968699121 = 78002^2 + 70489^2 .

It is not a de Polignac number, because 11053011125 - 22 = 11053011121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11053011097 and 11053011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053011121) 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 31 ways as a sum of consecutive naturals, for example, 172430 + ... + 227679.

It is an arithmetic number, because the mean of its divisors is an integer number (491535135).

Almost surely, 211053011125 is an apocalyptic number.

It is an amenable number.

11053011125 is a deficient number, since it is larger than the sum of its proper divisors (4676113195).

11053011125 is a wasteful number, since it uses less digits than its factorization.

11053011125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400154 (or 400144 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 11053011125 its reverse (52111035011), we get a palindrome (63164046136).

The spelling of 11053011125 in words is "eleven billion, fifty-three million, eleven thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 1105 1625 2125 5525 27625 400109 2000545 5201417 6801853 10002725 26007085 34009265 50013625 88424089 130035425 170046325 442120445 650177125 850231625 2210602225 11053011125