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1133022000 = 243531117167
BaseRepresentation
bin100001110001000…
…1000101100110000
32220221222110222210
41003202020230300
54310023201000
6304232332120
740035346065
oct10342105460
92827873883
101133022000
1153161a220
12277544040
13150973326
14aa696c6c
156970a350
hex43888b30

1133022000 has 160 divisors (see below), whose sum is σ = 3985173504. Its totient is φ = 274656000.

The previous prime is 1133021963. The next prime is 1133022019. The reversal of 1133022000 is 2203311.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57417 + ... + 74583.

Almost surely, 21133022000 is an apocalyptic number.

1133022000 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 1133022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992586752).

1133022000 is an abundant number, since it is smaller than the sum of its proper divisors (2852151504).

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

1133022000 is a wasteful number, since it uses less digits than its factorization.

1133022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17204 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1133022000 is about 33660.3921545784. The cubic root of 1133022000 is about 1042.5081229347.

Adding to 1133022000 its reverse (2203311), we get a palindrome (1135225311).

The spelling of 1133022000 in words is "one billion, one hundred thirty-three million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 17167 22000 33000 34334 51501 66000 68668 85835 103002 137336 171670 188837 206004 257505 274672 343340 377674 412008 429175 515010 566511 686680 755348 824016 858350 944185 1030020 1133022 1287525 1373360 1510696 1716700 1888370 2060040 2145875 2266044 2575050 2832555 3021392 3433400 3776740 4120080 4291750 4532088 4720925 5150100 5665110 6437625 6866800 7553480 8583500 9064176 9441850 10300200 11330220 12875250 14162775 15106960 17167000 18883700 20600400 22660440 23604625 25750500 28325550 34334000 37767400 45320880 47209250 51501000 56651100 70813875 75534800 94418500 103002000 113302200 141627750 188837000 226604400 283255500 377674000 566511000 1133022000