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11017352741 = 172812306333
BaseRepresentation
bin10100100001010111…
…10111011000100101
31001102211002111201112
422100223313120211
5140030420241431
65021124034405
7540006644633
oct122053673045
931384074645
1011017352741
1147440101aa
122175832a05
1310676c1b45
1476730a353
1544736ac2b
hex290af7625

11017352741 has 8 divisors (see below), whose sum is σ = 11706951384. Its totient is φ = 10332367360.

The previous prime is 11017352713. The next prime is 11017352771. The reversal of 11017352741 is 14725371011.

11017352741 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 4 ways, for example, as 6096330241 + 4921022500 = 78079^2 + 70150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11017352741 - 210 = 11017351717 is a prime.

It is a super-2 number, since 2×110173527412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11017352698 and 11017352707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017352701) 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 7 ways as a sum of consecutive naturals, for example, 1148390 + ... + 1157943.

It is an arithmetic number, because the mean of its divisors is an integer number (1463368923).

Almost surely, 211017352741 is an apocalyptic number.

It is an amenable number.

11017352741 is a deficient number, since it is larger than the sum of its proper divisors (689598643).

11017352741 is a wasteful number, since it uses less digits than its factorization.

11017352741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306631.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 11017352741 in words is "eleven billion, seventeen million, three hundred fifty-two thousand, seven hundred forty-one".

Divisors: 1 17 281 4777 2306333 39207661 648079573 11017352741