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1201134000 = 243531118199
BaseRepresentation
bin100011110010111…
…1101100110110000
310002201010221002110
41013211331212300
54424442242000
6315104245320
741523320253
oct10745754660
93081127073
101201134000
11567010830
12296310840
13161b006a1
14b574709a
15706b1850
hex4797d9b0

1201134000 has 160 divisors (see below), whose sum is σ = 4224729600. Its totient is φ = 291168000.

The previous prime is 1201133987. The next prime is 1201134013. The reversal of 1201134000 is 4311021.

It is a happy number.

1201134000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1201133987) and next prime (1201134013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56901 + ... + 75099.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 21201134000 is an apocalyptic number.

1201134000 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 1201134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

1201134000 is an abundant number, since it is smaller than the sum of its proper divisors (3023595600).

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

1201134000 is a wasteful number, since it uses less digits than its factorization.

1201134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1201134000 is about 34657.3801664234. The cubic root of 1201134000 is about 1062.9932012449.

Adding to 1201134000 its reverse (4311021), we get a palindrome (1205445021).

The spelling of 1201134000 in words is "one billion, two hundred one million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 18199 22000 33000 36398 54597 66000 72796 90995 109194 145592 181990 200189 218388 272985 291184 363980 400378 436776 454975 545970 600567 727960 800756 873552 909950 1000945 1091940 1201134 1364925 1455920 1601512 1819900 2001890 2183880 2274875 2402268 2729850 3002835 3203024 3639800 4003780 4367760 4549750 4804536 5004725 5459700 6005670 6824625 7279600 8007560 9099500 9609072 10009450 10919400 12011340 13649250 15014175 16015120 18199000 20018900 21838800 24022680 25023625 27298500 30028350 36398000 40037800 48045360 50047250 54597000 60056700 75070875 80075600 100094500 109194000 120113400 150141750 200189000 240226800 300283500 400378000 600567000 1201134000