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11013113322 = 235231994951
BaseRepresentation
bin10100100000110111…
…01100010111101010
31001102112010010100000
422100123230113222
5140023324111242
65020453123430
7536625630051
oct122033542752
931375103300
1011013113322
114741685052
122174329576
131066869303
14766925398
15446ccea4c
hex2906ec5ea

11013113322 has 96 divisors (see below), whose sum is σ = 25956403200. Its totient is φ = 3493076400.

The previous prime is 11013113303. The next prime is 11013113327. The reversal of 11013113322 is 22331131011.

11013113322 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11013113295 and 11013113304.

It is not an unprimeable number, because it can be changed into a prime (11013113327) 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 47 ways as a sum of consecutive naturals, for example, 2221947 + ... + 2226897.

It is an arithmetic number, because the mean of its divisors is an integer number (270379200).

Almost surely, 211013113322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978201600).

11013113322 is an abundant number, since it is smaller than the sum of its proper divisors (14943289878).

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

11013113322 is a wasteful number, since it uses less digits than its factorization.

11013113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11013113322 its reverse (22331131011), we get a palindrome (33344244333).

The spelling of 11013113322 in words is "eleven billion, thirteen million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 199 207 243 398 414 486 597 621 1194 1242 1791 1863 3582 3726 4577 4951 5373 5589 9154 9902 10746 11178 13731 14853 16119 27462 29706 32238 41193 44559 48357 82386 89118 96714 113873 123579 133677 227746 247158 267354 341619 370737 401031 683238 741474 802062 985249 1024857 1112211 1203093 1970498 2049714 2224422 2406186 2955747 3074571 5911494 6149142 8867241 9223713 17734482 18447426 22660727 26601723 27671139 45321454 53203446 55342278 67982181 79805169 135964362 159610338 203946543 239415507 407893086 478831014 611839629 1223679258 1835518887 3671037774 5506556661 11013113322