Search a number
-
+
11318122266 = 23111767150559
BaseRepresentation
bin10101000101001110…
…01101011100011010
31002012210001011221120
422202213031130122
5141134414403031
65111030350110
7550321311003
oct124247153432
932183034846
1011318122266
11488886a860
12223a4bb336
1310b4acbc89
147952401aa
1546397ca96
hex2a29cd71a

11318122266 has 64 divisors (see below), whose sum is σ = 26537103360. Its totient is φ = 3179784960.

The previous prime is 11318122253. The next prime is 11318122267. The reversal of 11318122266 is 66222181311.

11318122266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11318122267) 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, 106 + ... + 150453.

It is an arithmetic number, because the mean of its divisors is an integer number (414642240).

Almost surely, 211318122266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11318122266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268551680).

11318122266 is an abundant number, since it is smaller than the sum of its proper divisors (15218981094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11318122266 is a wasteful number, since it uses less digits than its factorization.

11318122266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150659.

The product of its digits is 6912, while the sum is 33.

The spelling of 11318122266 in words is "eleven billion, three hundred eighteen million, one hundred twenty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 67 102 134 187 201 374 402 561 737 1122 1139 1474 2211 2278 3417 4422 6834 12529 25058 37587 75174 150559 301118 451677 903354 1656149 2559503 3312298 4968447 5119006 7678509 9936894 10087453 15357018 20174906 28154533 30262359 56309066 60524718 84463599 110961983 168927198 171486701 221923966 332885949 342973402 514460103 665771898 1028920206 1886353711 3772707422 5659061133 11318122266