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1047013305 = 3513331771
BaseRepresentation
bin111110011010000…
…010011110111001
32200222010210020120
4332122002132321
54121013411210
6251521043453
734642315632
oct7632023671
92628123216
101047013305
11498014658
12252786589
13138bbb000
149d0a8889
1561dbb270
hex3e6827b9

1047013305 has 32 divisors (see below), whose sum is σ = 1814816640. Its totient is φ = 515436480.

The previous prime is 1047013301. The next prime is 1047013327. The reversal of 1047013305 is 5033107401.

It is not a de Polignac number, because 1047013305 - 22 = 1047013301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1047013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17070 + ... + 48840.

It is an arithmetic number, because the mean of its divisors is an integer number (56713020).

Almost surely, 21047013305 is an apocalyptic number.

1047013305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1047013305 is a deficient number, since it is larger than the sum of its proper divisors (767803335).

1047013305 is an equidigital number, since it uses as much as digits as its factorization.

1047013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31818 (or 31792 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1047013305 is about 32357.5849685974. The cubic root of 1047013305 is about 1015.4317381601.

The spelling of 1047013305 in words is "one billion, forty-seven million, thirteen thousand, three hundred five".

Divisors: 1 3 5 13 15 39 65 169 195 507 845 2197 2535 6591 10985 31771 32955 95313 158855 413023 476565 1239069 2065115 5369299 6195345 16107897 26846495 69800887 80539485 209402661 349004435 1047013305