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1011133056 = 27310212579
BaseRepresentation
bin111100010001001…
…010101010000000
32121110121212210110
4330101022222000
54032322224211
6244200031320
734025326533
oct7421125200
92543555713
101011133056
1147983825a
12242762540
131316376ab
1498408a1a
155db7eea6
hex3c44aa80

1011133056 has 64 divisors (see below), whose sum is σ = 2689495200. Its totient is φ = 336583680.

The previous prime is 1011133049. The next prime is 1011133073. The reversal of 1011133056 is 6503311101.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 390775 + ... + 393353.

Almost surely, 21011133056 is an apocalyptic number.

1011133056 is a gapful number since it is divisible by the number (16) 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 1011133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344747600).

1011133056 is an abundant number, since it is smaller than the sum of its proper divisors (1678362144).

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

1011133056 is a wasteful number, since it uses less digits than its factorization.

1011133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1011133056 is about 31798.3184461065. The cubic root of 1011133056 is about 1003.6973315582.

Adding to 1011133056 its reverse (6503311101), we get a palindrome (7514444157).

The spelling of 1011133056 in words is "one billion, eleven million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1021 2042 2579 3063 4084 5158 6126 7737 8168 10316 12252 15474 16336 20632 24504 30948 32672 41264 49008 61896 65344 82528 98016 123792 130688 165056 196032 247584 330112 392064 495168 990336 2633159 5266318 7899477 10532636 15798954 21065272 31597908 42130544 63195816 84261088 126391632 168522176 252783264 337044352 505566528 1011133056