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1134310000 = 2454671693
BaseRepresentation
bin100001110011100…
…0011001001110000
32221001101220210111
41003213003021300
54310340410000
6304320111104
740052322145
oct10347031160
92831356714
101134310000
1153231998a
12277a65494
13151004665
14aa9103cc
15698b1cba
hex439c3270

1134310000 has 100 divisors (see below), whose sum is σ = 2788913512. Its totient is φ = 446688000.

The previous prime is 1134309997. The next prime is 1134310007. The reversal of 1134310000 is 134311.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×11343100002 = 2573318352200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134310007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 669154 + ... + 670846.

Almost surely, 21134310000 is an apocalyptic number.

1134310000 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 1134310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394456756).

1134310000 is an abundant number, since it is smaller than the sum of its proper divisors (1654603512).

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

1134310000 is an equidigital number, since it uses as much as digits as its factorization.

1134310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1134310000 is about 33679.5189989406. The cubic root of 1134310000 is about 1042.9030084645.

Adding to 1134310000 its reverse (134311), we get a palindrome (1134444311).

The spelling of 1134310000 in words is "one billion, one hundred thirty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 1693 2000 2500 2680 3350 3386 5000 5360 6700 6772 8375 8465 10000 13400 13544 16750 16930 26800 27088 33500 33860 41875 42325 67000 67720 83750 84650 113431 134000 135440 167500 169300 211625 226862 335000 338600 423250 453724 567155 670000 677200 846500 907448 1058125 1134310 1693000 1814896 2116250 2268620 2835775 3386000 4232500 4537240 5671550 8465000 9074480 11343100 14178875 16930000 22686200 28357750 45372400 56715500 70894375 113431000 141788750 226862000 283577500 567155000 1134310000