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1133110000 = 24541110301
BaseRepresentation
bin100001110001001…
…1110001011110000
32220222010221201001
41003202132023300
54310034010000
6304234251344
740036163461
oct10342361360
92828127631
101133110000
1153167a350
12277586b54
131509a43b9
14aa6bad68
156972646a
hex4389e2f0

1133110000 has 100 divisors (see below), whose sum is σ = 2993060664. Its totient is φ = 412000000.

The previous prime is 1133109883. The next prime is 1133110003. The reversal of 1133110000 is 113311.

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

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104850 + ... + 115150.

Almost surely, 21133110000 is an apocalyptic number.

1133110000 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 1133110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496530332).

1133110000 is an abundant number, since it is smaller than the sum of its proper divisors (1859950664).

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

1133110000 is a wasteful number, since it uses less digits than its factorization.

1133110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1133110000 is about 33661.6993035111. The cubic root of 1133110000 is about 1042.5351122135.

Adding to 1133110000 its reverse (113311), we get a palindrome (1133223311).

Multiplying 1133110000 by its reverse (113311), we get a square (128393827210000 = 113311002).

1133110000 divided by its reverse (113311) gives a 4-th power (10000 = 104).

It can be divided in two parts, 113 and 3110000, that added together give a palindrome (3110113).

The spelling of 1133110000 in words is "one billion, one hundred thirty-three million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 10301 11000 13750 20602 22000 27500 41204 51505 55000 82408 103010 110000 113311 164816 206020 226622 257525 412040 453244 515050 566555 824080 906488 1030100 1133110 1287625 1812976 2060200 2266220 2575250 2832775 4120400 4532440 5150500 5665550 6438125 9064880 10301000 11331100 12876250 14163875 20602000 22662200 25752500 28327750 45324400 51505000 56655500 70819375 103010000 113311000 141638750 226622000 283277500 566555000 1133110000