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11322232012 = 227131913112497
BaseRepresentation
bin10101000101101101…
…11000110011001100
31002020001202222110101
422202312320303030
5141141442411022
65111254420444
7550401245530
oct124266706314
932201688411
1011322232012
114890117543
12223b961724
1310b590a790
147959cdbc0
15463ee0627
hex2a2db8ccc

11322232012 has 96 divisors (see below), whose sum is σ = 25867860480. Its totient is φ = 4210652160.

The previous prime is 11322232001. The next prime is 11322232063. The reversal of 11322232012 is 21023222311.

11322232012 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 (19).

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 31 ways as a sum of consecutive naturals, for example, 899748 + ... + 912244.

It is an arithmetic number, because the mean of its divisors is an integer number (269456880).

Almost surely, 211322232012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933930240).

11322232012 is an abundant number, since it is smaller than the sum of its proper divisors (14545628468).

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

11322232012 is a wasteful number, since it uses less digits than its factorization.

11322232012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11322232012 its reverse (21023222311), we get a palindrome (32345454323).

The spelling of 11322232012 in words is "eleven billion, three hundred twenty-two million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 131 133 182 247 262 266 364 494 524 532 917 988 1703 1729 1834 2489 3406 3458 3668 4978 6812 6916 9956 11921 12497 17423 23842 24994 32357 34846 47684 49988 64714 69692 87479 129428 162461 174958 226499 237443 324922 349916 452998 474886 649844 905996 949772 1137227 1637107 1662101 2274454 3086759 3274214 3324202 4548908 6173518 6548428 6648404 11459749 12347036 21282391 21607313 22919498 31105033 42564782 43214626 45838996 62210066 85129564 86429252 124420132 148976737 217735231 297953474 404365429 435470462 595906948 808730858 870940924 1617461716 2830558003 5661116006 11322232012