Search a number
-
+
11012013105 = 356129994013
BaseRepresentation
bin10100100000101110…
…11111110000110001
31001102110001020010020
422100113133300301
5140023033404410
65020413354053
7536613365322
oct122027376061
931373036106
1011012013105
114740aa3485
122173a98929
1310665725b2
1476671a449
15446b63a70
hex2905dfc31

11012013105 has 32 divisors (see below), whose sum is σ = 17918496000. Its totient is φ = 5773428480.

The previous prime is 11012013083. The next prime is 11012013107. The reversal of 11012013105 is 50131021011.

11012013105 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 11012013105 - 212 = 11012009009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11012013107) 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, 2742079 + ... + 2746091.

It is an arithmetic number, because the mean of its divisors is an integer number (559953000).

Almost surely, 211012013105 is an apocalyptic number.

11012013105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11012013105 is a deficient number, since it is larger than the sum of its proper divisors (6906482895).

11012013105 is a wasteful number, since it uses less digits than its factorization.

11012013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11012013105 its reverse (50131021011), we get a palindrome (61143034116).

The spelling of 11012013105 in words is "eleven billion, twelve million, thirteen thousand, one hundred five".

Divisors: 1 3 5 15 61 183 305 915 2999 4013 8997 12039 14995 20065 44985 60195 182939 244793 548817 734379 914695 1223965 2744085 3671895 12034987 36104961 60174935 180524805 734134207 2202402621 3670671035 11012013105