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1033141109 = 71113279393
BaseRepresentation
bin111101100101000…
…111101101110101
32200000001000011112
4331211013231311
54103441003414
6250303444405
734413361130
oct7545075565
92600030145
101033141109
114901aa230
12249bb6705
13136071b00
149b2d7217
1560a7ad3e
hex3d947b75

1033141109 has 24 divisors (see below), whose sum is σ = 1394793792. Its totient is φ = 743109120.

The previous prime is 1033141099. The next prime is 1033141111. The reversal of 1033141109 is 9011413301.

It is a de Polignac number, because none of the positive numbers 2k-1033141109 is a prime.

It is a super-4 number, since 4×10331411094 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033141129) 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, 26684 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (58116408).

Almost surely, 21033141109 is an apocalyptic number.

It is an amenable number.

1033141109 is a deficient number, since it is larger than the sum of its proper divisors (361652683).

1033141109 is a wasteful number, since it uses less digits than its factorization.

1033141109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79437 (or 79424 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1033141109 is about 32142.5124873585. The cubic root of 1033141109 is about 1010.9271977665.

The spelling of 1033141109 in words is "one billion, thirty-three million, one hundred forty-one thousand, one hundred nine".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 79393 555751 873323 1032109 6113261 7224763 11353199 13417417 79472393 93921919 147591587 1033141109