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1133031000 = 233532931289
BaseRepresentation
bin100001110001000…
…1010111001011000
32220221222221100010
41003202022321120
54310023443000
6304232441520
740035414243
oct10342127130
92827887303
101133031000
11531625a62
122775492a0
1315097745a
14aa69a25a
156970cd50
hex4388ae58

1133031000 has 128 divisors (see below), whose sum is σ = 3549873600. Its totient is φ = 300876800.

The previous prime is 1133030981. The next prime is 1133031007. The reversal of 1133031000 is 1303311.

It is a super-2 number, since 2×11330310002 = 2567518493922000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133031007) by changing a digit.

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, 878356 + ... + 879644.

Almost surely, 21133031000 is an apocalyptic number.

1133031000 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 1133031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774936800).

1133031000 is an abundant number, since it is smaller than the sum of its proper divisors (2416842600).

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

1133031000 is a wasteful number, since it uses less digits than its factorization.

1133031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1133031000 is about 33660.5258425949. The cubic root of 1133031000 is about 1042.5108832660.

Adding to 1133031000 its reverse (1303311), we get a palindrome (1134334311).

The spelling of 1133031000 in words is "one billion, one hundred thirty-three million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 293 300 375 500 586 600 750 879 1000 1172 1289 1465 1500 1758 2344 2578 2930 3000 3516 3867 4395 5156 5860 6445 7032 7325 7734 8790 10312 11720 12890 14650 15468 17580 19335 21975 25780 29300 30936 32225 35160 36625 38670 43950 51560 58600 64450 73250 77340 87900 96675 109875 128900 146500 154680 161125 175800 193350 219750 257800 293000 322250 377677 386700 439500 483375 644500 755354 773400 879000 966750 1133031 1289000 1510708 1888385 1933500 2266062 3021416 3776770 3867000 4532124 5665155 7553540 9064248 9441925 11330310 15107080 18883850 22660620 28325775 37767700 45321240 47209625 56651550 75535400 94419250 113303100 141628875 188838500 226606200 283257750 377677000 566515500 1133031000