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1133122000 = 24531929819
BaseRepresentation
bin100001110001010…
…0001000111010000
32220222011120011111
41003202201013100
54310034401000
6304234423104
740036243453
oct10342410720
92828146144
101133122000
1153168836a
12277591a94
131509a99ba
14aa6c149a
1569729cba
hex438a11d0

1133122000 has 80 divisors (see below), whose sum is σ = 2884190400. Its totient is φ = 429379200.

The previous prime is 1133121989. The next prime is 1133122007. The reversal of 1133122000 is 2213311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133122007) 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, 23091 + ... + 52909.

It is an arithmetic number, because the mean of its divisors is an integer number (36052380).

Almost surely, 21133122000 is an apocalyptic number.

1133122000 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 1133122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442095200).

1133122000 is an abundant number, since it is smaller than the sum of its proper divisors (1751068400).

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

1133122000 is a wasteful number, since it uses less digits than its factorization.

1133122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29861 (or 29845 counting only the distinct ones).

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

The square root of 1133122000 is about 33661.8775471601. The cubic root of 1133122000 is about 1042.5387924614.

Adding to 1133122000 its reverse (2213311), we get a palindrome (1135335311).

The spelling of 1133122000 in words is "one billion, one hundred thirty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 29819 38000 59638 119276 149095 238552 298190 477104 566561 596380 745475 1133122 1192760 1490950 2266244 2385520 2832805 2981900 3727375 4532488 5665610 5963800 7454750 9064976 11331220 11927600 14164025 14909500 22662440 28328050 29819000 45324880 56656100 59638000 70820125 113312200 141640250 226624400 283280500 566561000 1133122000