Search a number
-
+
1133021000 = 23538591319
BaseRepresentation
bin100001110001000…
…1000011101001000
32220221222102121202
41003202020131020
54310023133000
6304232323332
740035343136
oct10342103510
92827872552
101133021000
115316194a1
12277543548
13150972a37
14aa696756
1569709dd5
hex43888748

1133021000 has 64 divisors (see below), whose sum is σ = 2656368000. Its totient is φ = 452337600.

The previous prime is 1133020991. The next prime is 1133021011. The reversal of 1133021000 is 1203311.

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 15 ways as a sum of consecutive naturals, for example, 858341 + ... + 859659.

It is an arithmetic number, because the mean of its divisors is an integer number (41505750).

Almost surely, 21133021000 is an apocalyptic number.

1133021000 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 1133021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328184000).

1133021000 is an abundant number, since it is smaller than the sum of its proper divisors (1523347000).

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

1133021000 is a wasteful number, since it uses less digits than its factorization.

1133021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1133021000 is about 33660.3773003215. The cubic root of 1133021000 is about 1042.5078162303.

Adding to 1133021000 its reverse (1203311), we get a palindrome (1134224311).

The spelling of 1133021000 in words is "one billion, one hundred thirty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 859 1000 1319 1718 2638 3436 4295 5276 6595 6872 8590 10552 13190 17180 21475 26380 32975 34360 42950 52760 65950 85900 107375 131900 164875 171800 214750 263800 329750 429500 659500 859000 1133021 1319000 2266042 4532084 5665105 9064168 11330210 22660420 28325525 45320840 56651050 113302100 141627625 226604200 283255250 566510500 1133021000