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1134101320 = 235118772939
BaseRepresentation
bin100001110011001…
…0000001101001000
32221001000022112121
41003212100031020
54310312220240
6304311421024
740050462562
oct10346201510
92831008477
101134101320
11532197120
12277984774
13150c60691
14aa898332
156987004a
hex43990348

1134101320 has 64 divisors (see below), whose sum is σ = 2787825600. Its totient is φ = 411790080.

The previous prime is 1134101257. The next prime is 1134101323. The reversal of 1134101320 is 231014311.

It is a junction number, because it is equal to n+sod(n) for n = 1134101294 and 1134101303.

It is not an unprimeable number, because it can be changed into a prime (1134101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384411 + ... + 387349.

It is an arithmetic number, because the mean of its divisors is an integer number (43559775).

Almost surely, 21134101320 is an apocalyptic number.

1134101320 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 1134101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393912800).

1134101320 is an abundant number, since it is smaller than the sum of its proper divisors (1653724280).

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

1134101320 is a wasteful number, since it uses less digits than its factorization.

1134101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1134101320 is about 33676.4208311988. The cubic root of 1134101320 is about 1042.8390499502.

Adding to 1134101320 its reverse (231014311), we get a palindrome (1365115631).

The spelling of 1134101320 in words is "one billion, one hundred thirty-four million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 877 1754 2939 3508 4385 5878 7016 8770 9647 11756 14695 17540 19294 23512 29390 32329 35080 38588 48235 58780 64658 77176 96470 117560 129316 161645 192940 258632 323290 385880 646580 1293160 2577503 5155006 10310012 12887515 20620024 25775030 28352533 51550060 56705066 103100120 113410132 141762665 226820264 283525330 567050660 1134101320