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11331110034 = 2332383109919
BaseRepresentation
bin10101000110110001…
…10000010010010010
31002020200111000211000
422203120300102102
5141201231010114
65112213002430
7550536563136
oct124330602222
932220430730
1011331110034
114895130752
122242923416
1310b76c874a
14796c613c6
15464b95e09
hex2a3630492

11331110034 has 64 divisors (see below), whose sum is σ = 26591846400. Its totient is φ = 3569257296.

The previous prime is 11331109997. The next prime is 11331110051. The reversal of 11331110034 is 43001113311.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11331109989 and 11331110016.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48127 + ... + 158045.

It is an arithmetic number, because the mean of its divisors is an integer number (415497600).

Almost surely, 211331110034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331110034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295923200).

11331110034 is an abundant number, since it is smaller than the sum of its proper divisors (15260736366).

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

11331110034 is a wasteful number, since it uses less digits than its factorization.

11331110034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110036 (or 110030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331110034 its reverse (43001113311), we get a palindrome (54332223345).

The spelling of 11331110034 in words is "eleven billion, three hundred thirty-one million, one hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 83 138 166 207 249 414 498 621 747 1242 1494 1909 2241 3818 4482 5727 11454 17181 34362 51543 103086 109919 219838 329757 659514 989271 1978542 2528137 2967813 5056274 5935626 7584411 9123277 15168822 18246554 22753233 27369831 45506466 54739662 68259699 82109493 136519398 164218986 209835371 246328479 419670742 492656958 629506113 1259012226 1888518339 3777036678 5665555017 11331110034