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11002323320300 = 225213671131117861
BaseRepresentation
bin1010000000011010110110…
…0100101011110111101100
31102221210220211101120121102
42200012231210223313230
52420230224232222200
635222221512222232
72213614554113024
oct240065544536754
942853824346542
1011002323320300
113562071758934
1212983a799a978
1361a68c8729b0
142a072dd54a84
151412e06356d5
hexa01ad92bdec

11002323320300 has 144 divisors (see below), whose sum is σ = 26326293988512. Its totient is φ = 3966346137600.

The previous prime is 11002323320297. The next prime is 11002323320321. The reversal of 11002323320300 is 302332320011.

11002323320300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110023233203002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9283370 + ... + 10401230.

Almost surely, 211002323320300 is an apocalyptic number.

11002323320300 is a gapful number since it is divisible by the number (10) 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 11002323320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163146994256).

11002323320300 is an abundant number, since it is smaller than the sum of its proper divisors (15323970668212).

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

11002323320300 is a wasteful number, since it uses less digits than its factorization.

11002323320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118068 (or 1118061 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11002323320300 its reverse (302332320011), we get a palindrome (11304655640311).

The spelling of 11002323320300 in words is "eleven trillion, two billion, three hundred twenty-three million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 113 130 134 226 260 268 325 335 452 565 650 670 871 1130 1300 1340 1469 1675 1742 2260 2825 2938 3350 3484 4355 5650 5876 6700 7345 7571 8710 11300 14690 15142 17420 21775 29380 30284 36725 37855 43550 73450 75710 87100 98423 146900 151420 189275 196846 378550 393692 492115 757100 984230 1117861 1968460 2235722 2460575 4471444 4921150 5589305 9842300 11178610 14532193 22357220 27946525 29064386 55893050 58128772 72660965 74896687 111786100 126318293 145321930 149793374 252636586 290643860 299586748 363304825 374483435 505273172 631591465 726609650 748966870 973656931 1263182930 1453219300 1497933740 1642137809 1872417175 1947313862 2526365860 3157957325 3284275618 3744834350 3894627724 4868284655 6315914650 6568551236 7489668700 8210689045 8463325631 9736569310 12631829300 16421378090 16926651262 19473138620 24341423275 32842756180 33853302524 41053445225 42316628155 48682846550 82106890450 84633256310 97365693100 110023233203 164213780900 169266512620 211583140775 220046466406 423166281550 440092932812 550116166015 846332563100 1100232332030 2200464664060 2750580830075 5501161660150 11002323320300