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1134001000 = 235311103091
BaseRepresentation
bin100001110010111…
…0111101101101000
32221000211012221001
41003211313231220
54310301013000
6304305324344
740046564236
oct10345675550
92830735831
101134001000
11532128810
122779366b4
13150c26b12
14aa86d956
156985046a
hex43977b68

1134001000 has 64 divisors (see below), whose sum is σ = 2894823360. Its totient is φ = 412360000.

The previous prime is 1134000971. The next prime is 1134001009. The reversal of 1134001000 is 1004311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1134001009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40546 + ... + 62545.

It is an arithmetic number, because the mean of its divisors is an integer number (45231615).

Almost surely, 21134001000 is an apocalyptic number.

1134001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134001000 is an abundant number, since it is smaller than the sum of its proper divisors (1760822360).

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

1134001000 is a wasteful number, since it uses less digits than its factorization.

1134001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103123 (or 103109 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1134001000 is about 33674.9313288090. The cubic root of 1134001000 is about 1042.8082999938.

Adding to 1134001000 its reverse (1004311), we get a palindrome (1135005311).

The spelling of 1134001000 in words is "one billion, one hundred thirty-four million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 103091 206182 412364 515455 824728 1030910 1134001 2061820 2268002 2577275 4123640 4536004 5154550 5670005 9072008 10309100 11340010 12886375 20618200 22680020 25772750 28350025 45360040 51545500 56700050 103091000 113400100 141750125 226800200 283500250 567000500 1134001000