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11134331305 = 517180172733
BaseRepresentation
bin10100101111010100…
…00110100110101001
31001201222012122010221
422113222012212221
5140300342100210
65040503210041
7542630153206
oct122752064651
931658178127
1011134331305
1147a40489a9
1221a8a46921
1310859cb726
14778a7acad
154527761da
hex297a869a9

11134331305 has 16 divisors (see below), whose sum is σ = 14155200144. Its totient is φ = 8378726400.

The previous prime is 11134331269. The next prime is 11134331309. The reversal of 11134331305 is 50313343111.

11134331305 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 8 ways, for example, as 158835609 + 10975495696 = 12603^2 + 104764^2 .

It is not a de Polignac number, because 11134331305 - 233 = 2544396713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11134331305.

It is not an unprimeable number, because it can be changed into a prime (11134331309) 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 15 ways as a sum of consecutive naturals, for example, 116719 + ... + 189451.

It is an arithmetic number, because the mean of its divisors is an integer number (884700009).

Almost surely, 211134331305 is an apocalyptic number.

It is an amenable number.

11134331305 is a deficient number, since it is larger than the sum of its proper divisors (3020868839).

11134331305 is a wasteful number, since it uses less digits than its factorization.

11134331305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74556.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 11134331305 its reverse (50313343111), we get a palindrome (61447674416).

The spelling of 11134331305 in words is "eleven billion, one hundred thirty-four million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 5 17 85 1801 9005 30617 72733 153085 363665 1236461 6182305 130992133 654960665 2226866261 11134331305