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1041334133 = 72172774513
BaseRepresentation
bin111110000100010…
…111111101110101
32200120110020212212
4332010113331311
54113040143013
6251155223205
734543123400
oct7604277565
92616406785
101041334133
11494895824
122508a7b05
13137980058
149c42ad37
15616486a8
hex3e117f75

1041334133 has 24 divisors (see below), whose sum is σ = 1287519192. Its totient is φ = 836849664.

The previous prime is 1041334127. The next prime is 1041334141. The reversal of 1041334133 is 3314331401.

It can be written as a sum of positive squares in 4 ways, for example, as 432964 + 1040901169 = 658^2 + 32263^2 .

It is not a de Polignac number, because 1041334133 - 228 = 772898677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1041334099 and 1041334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041334103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228485 + ... + 232997.

It is an arithmetic number, because the mean of its divisors is an integer number (53646633).

Almost surely, 21041334133 is an apocalyptic number.

It is an amenable number.

1041334133 is a deficient number, since it is larger than the sum of its proper divisors (246185059).

1041334133 is a wasteful number, since it uses less digits than its factorization.

1041334133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1041334133 is about 32269.7092177788. The cubic root of 1041334133 is about 1013.5924524788.

Adding to 1041334133 its reverse (3314331401), we get a palindrome (4355665534).

The spelling of 1041334133 in words is "one billion, forty-one million, three hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 277 833 1939 4513 4709 13573 31591 32963 76721 221137 230741 537047 1250101 3759329 8750707 21251717 61254949 148762019 1041334133