Search a number
-
+
11505505501 = 72961392459
BaseRepresentation
bin10101011011100100…
…00001010011011101
31002200211122020102101
422231302001103131
5142030402134001
65141402525101
7555055116550
oct125562012335
932624566371
1011505505501
114974615636
122291206791
131114889629
147b209a697
15475143a01
hex2adc814dd

11505505501 has 16 divisors (see below), whose sum is σ = 13624905600. Its totient is φ = 9506161728.

The previous prime is 11505505373. The next prime is 11505505553. The reversal of 11505505501 is 10550550511.

11505505501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11505505501 - 27 = 11505505373 is a prime.

It is a super-2 number, since 2×115055055012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11505505501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505505591) 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, 78210 + ... + 170668.

It is an arithmetic number, because the mean of its divisors is an integer number (851556600).

Almost surely, 211505505501 is an apocalyptic number.

It is an amenable number.

11505505501 is a deficient number, since it is larger than the sum of its proper divisors (2119400099).

11505505501 is an equidigital number, since it uses as much as digits as its factorization.

11505505501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93108.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 11505505501 in words is "eleven billion, five hundred five million, five hundred five thousand, five hundred one".

Divisors: 1 7 29 203 613 4291 17777 92459 124439 647213 2681311 18769177 56677367 396741569 1643643643 11505505501