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12101530000 = 24547224697
BaseRepresentation
bin10110100010100111…
…01011000110010000
31011020101011102022211
423101103223012100
5144240442430000
65320453441504
7605613210400
oct132123530620
934211142284
1012101530000
11514aaa866a
122418940294
1311ab1c2851
1482b2ca800
154ac6287ba
hex2d14eb190

12101530000 has 150 divisors (see below), whose sum is σ = 34083906846. Its totient is φ = 4148928000.

The previous prime is 12101529941. The next prime is 12101530003. The reversal of 12101530000 is 3510121.

It can be written as a sum of positive squares in 5 ways, for example, as 1878702336 + 10222827664 = 43344^2 + 101108^2 .

It is not an unprimeable number, because it can be changed into a prime (12101530003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 477652 + ... + 502348.

Almost surely, 212101530000 is an apocalyptic number.

12101530000 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 12101530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041953423).

12101530000 is an abundant number, since it is smaller than the sum of its proper divisors (21982376846).

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

12101530000 is an equidigital number, since it uses as much as digits as its factorization.

12101530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24739 (or 24711 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The spelling of 12101530000 in words is "twelve billion, one hundred one million, five hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 24697 30625 35000 49000 49394 61250 70000 98000 98788 122500 123485 172879 197576 245000 246970 345758 395152 490000 493940 617425 691516 864395 987880 1210153 1234850 1383032 1728790 1975760 2420306 2469700 2766064 3087125 3457580 4321975 4840612 4939400 6050765 6174250 6915160 8643950 9681224 9878800 12101530 12348500 13830320 15435625 17287900 19362448 21609875 24203060 24697000 30253825 30871250 34575800 43219750 48406120 49394000 60507650 61742500 69151600 86439500 96812240 108049375 121015300 123485000 151269125 172879000 216098750 242030600 246970000 302538250 345758000 432197500 484061200 605076500 756345625 864395000 1210153000 1512691250 1728790000 2420306000 3025382500 6050765000 12101530000