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1133121000 = 233531134337
BaseRepresentation
bin100001110001010…
…0000110111101000
32220222011111210110
41003202200313220
54310034333000
6304234414320
740036240524
oct10342406750
92828144713
101133121000
11531687640
122775913a0
131509a93cb
14aa6c0d84
1569729850
hex438a0de8

1133121000 has 128 divisors (see below), whose sum is σ = 3856844160. Its totient is φ = 274688000.

The previous prime is 1133120987. The next prime is 1133121023. The reversal of 1133121000 is 1213311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15832 + ... + 50168.

It is an arithmetic number, because the mean of its divisors is an integer number (30131595).

Almost surely, 21133121000 is an apocalyptic number.

1133121000 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 1133121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928422080).

1133121000 is an abundant number, since it is smaller than the sum of its proper divisors (2723723160).

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

1133121000 is a wasteful number, since it uses less digits than its factorization.

1133121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34372 (or 34358 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1133121000 is about 33661.8626935587. The cubic root of 1133121000 is about 1042.5384857751.

Adding to 1133121000 its reverse (1213311), we get a palindrome (1134334311).

The spelling of 1133121000 in words is "one billion, one hundred thirty-three million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 34337 68674 103011 137348 171685 206022 274696 343370 377707 412044 515055 686740 755414 824088 858425 1030110 1133121 1373480 1510828 1716850 1888535 2060220 2266242 2575275 3021656 3433700 3777070 4120440 4292125 4532484 5150550 5665605 6867400 7554140 8584250 9064968 9442675 10301100 11331210 12876375 15108280 17168500 18885350 20602200 22662420 25752750 28328025 34337000 37770700 45324840 47213375 51505500 56656050 75541400 94426750 103011000 113312100 141640125 188853500 226624200 283280250 377707000 566560500 1133121000