Search a number
-
+
11322102012 = 22313665310909
BaseRepresentation
bin10101000101101100…
…11001000011111100
31002020001112101010120
422202312121003330
5141141424231022
65111251534540
7550400164524
oct124266310374
932201471116
1011322102012
114890038901
12223b8ba450
1310b5893560
14795998684
15463eb6d5c
hex2a2d990fc

11322102012 has 48 divisors (see below), whose sum is σ = 28457294880. Its totient is φ = 3482880768.

The previous prime is 11322101993. The next prime is 11322102037. The reversal of 11322102012 is 21020122311.

11322102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11322101982 and 11322102000.

It is a congruent number.

It is an unprimeable number.

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, 1032414 + ... + 1043322.

It is an arithmetic number, because the mean of its divisors is an integer number (592860310).

Almost surely, 211322102012 is an apocalyptic number.

11322102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11322102012 is an abundant number, since it is smaller than the sum of its proper divisors (17135192868).

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

11322102012 is a wasteful number, since it uses less digits than its factorization.

11322102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17582 (or 17580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11322102012 its reverse (21020122311), we get a palindrome (32342224323).

The spelling of 11322102012 in words is "eleven billion, three hundred twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 6653 10909 13306 19959 21818 26612 32727 39918 43636 65454 79836 86489 130908 141817 172978 259467 283634 345956 425451 518934 567268 850902 1037868 1701804 72577577 145155154 217732731 290310308 435465462 870930924 943508501 1887017002 2830525503 3774034004 5661051006 11322102012