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11331123333030 = 2325479972686813
BaseRepresentation
bin1010010011100011101110…
…0101001100011110100110
31111010020121110121211122200
42210320323211030132212
52441122120033124110
640033240213435330
72246434541111154
oct244707345143646
944106543554580
1011331123333030
1136795587a0a46
12133006a33bb46
1364269c277c47
142b2601db63d4
15149b363d66c0
hexa4e3b94c7a6

11331123333030 has 96 divisors (see below), whose sum is σ = 30117938258304. Its totient is φ = 2954375486208.

The previous prime is 11331123333029. The next prime is 11331123333041. The reversal of 11331123333030 is 3033332113311.

11331123333030 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 23 + 3 + 3 + 303 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11331123332985 and 11331123333003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2873904 + ... + 5560716.

It is an arithmetic number, because the mean of its divisors is an integer number (313728523524).

Almost surely, 211331123333030 is an apocalyptic number.

11331123333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331123333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058969129152).

11331123333030 is an abundant number, since it is smaller than the sum of its proper divisors (18786814925274).

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

11331123333030 is a wasteful number, since it uses less digits than its factorization.

11331123333030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687870 (or 2687867 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 11331123333030 its reverse (3033332113311), we get a palindrome (14364455446341).

The spelling of 11331123333030 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 997 1410 1994 2115 2991 4230 4985 5982 8973 9970 14955 17946 29910 44865 46859 89730 93718 140577 234295 281154 421731 468590 702885 843462 1405770 2108655 2686813 4217310 5373626 8060439 13434065 16120878 24181317 26868130 40302195 48362634 80604390 120906585 126280211 241813170 252560422 378840633 631401055 757681266 1136521899 1262802110 1894203165 2273043798 2678752561 3788406330 5357505122 5682609495 8036257683 11365218990 13393762805 16072515366 24108773049 26787525610 40181288415 48217546098 80362576830 120543865245 125901370367 241087730490 251802740734 377704111101 629506851835 755408222202 1133112333303 1259013703670 1888520555505 2266224666606 3777041111010 5665561666515 11331123333030