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12010313000 = 2353717100927
BaseRepresentation
bin10110010111101111…
…01101010100101000
31011000000112010010102
423023313231110220
5144044120004000
65303434404532
7603424655540
oct131367552450
934000463112
1012010313000
115103565a14
1223b2290748
1311953359aa
1481d144320
154a460b3d5
hex2cbded528

12010313000 has 128 divisors (see below), whose sum is σ = 34008698880. Its totient is φ = 3875558400.

The previous prime is 12010312999. The next prime is 12010313009. The reversal of 12010313000 is 31301021.

It is not an unprimeable number, because it can be changed into a prime (12010313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68537 + ... + 169463.

It is an arithmetic number, because the mean of its divisors is an integer number (265692960).

Almost surely, 212010313000 is an apocalyptic number.

12010313000 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 12010313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004349440).

12010313000 is an abundant number, since it is smaller than the sum of its proper divisors (21998385880).

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

12010313000 is a wasteful number, since it uses less digits than its factorization.

12010313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100972 (or 100958 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12010313000 its reverse (31301021), we get a palindrome (12041614021).

The spelling of 12010313000 in words is "twelve billion, ten million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 100927 119000 201854 403708 504635 706489 807416 1009270 1412978 1715759 2018540 2523175 2825956 3431518 3532445 4037080 5046350 5651912 6863036 7064890 8578795 10092700 12010313 12615875 13726072 14129780 17157590 17662225 20185400 24020626 25231750 28259560 34315180 35324450 42893975 48041252 50463500 60051565 68630360 70648900 85787950 88311125 96082504 100927000 120103130 141297800 171575900 176622250 214469875 240206260 300257825 343151800 353244500 428939750 480412520 600515650 706489000 857879500 1201031300 1501289125 1715759000 2402062600 3002578250 6005156500 12010313000