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11023323012 = 22321310122309
BaseRepresentation
bin10100100010000101…
…01000111110000100
31001110020022211101200
422101002220332010
5140033432314022
65021500022500
7540111461652
oct122102507604
931406284350
1011023323012
114747418809
122177831a30
131068a02450
14768021dd2
15447b49bac
hex2910a8f84

11023323012 has 108 divisors (see below), whose sum is σ = 30321110820. Its totient is φ = 3356755200.

The previous prime is 11023323011. The next prime is 11023323037. The reversal of 11023323012 is 21032332011.

It can be written as a sum of positive squares in 6 ways, for example, as 3248316036 + 7775006976 = 56994^2 + 88176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11023323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4772914 + ... + 4775222.

Almost surely, 211023323012 is an apocalyptic number.

11023323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160555410).

11023323012 is an abundant number, since it is smaller than the sum of its proper divisors (19297787808).

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

11023323012 is a wasteful number, since it uses less digits than its factorization.

11023323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11023323012 its reverse (21032332011), we get a palindrome (32055655023).

The spelling of 11023323012 in words is "eleven billion, twenty-three million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2309 2626 3636 3939 4618 5252 6927 7878 9236 10201 11817 13854 15756 20402 20781 23634 27708 30017 30603 40804 41562 47268 60034 61206 83124 90051 91809 120068 122412 132613 180102 183618 233209 265226 270153 360204 367236 397839 466418 530452 540306 699627 795678 932836 1080612 1193517 1399254 1591356 2098881 2387034 2798508 3031717 4197762 4774068 6063434 8395524 9095151 12126868 18190302 23554109 27285453 36380604 47108218 54570906 70662327 94216436 109141812 141324654 211986981 282649308 306203417 423973962 612406834 847947924 918610251 1224813668 1837220502 2755830753 3674441004 5511661506 11023323012