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1084993013 = 1326420077
BaseRepresentation
bin100000010101011…
…1010110111110101
32210121121100121102
41000222322313311
54210224234023
6255355055445
735613200636
oct10052726765
92717540542
101084993013
115074a5345
12263441585
13143a28100
14a415388d
15653be628
hex40abadf5

1084993013 has 6 divisors (see below), whose sum is σ = 1174874274. Its totient is φ = 1001531856.

The previous prime is 1084992991. The next prime is 1084993033. The reversal of 1084993013 is 3103994801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9284209 + 1075708804 = 3047^2 + 32798^2 .

It is not a de Polignac number, because 1084993013 - 216 = 1084927477 is a prime.

It is a super-3 number, since 3×10849930133 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084993033) 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 5 ways as a sum of consecutive naturals, for example, 3209870 + ... + 3210207.

It is an arithmetic number, because the mean of its divisors is an integer number (195812379).

Almost surely, 21084993013 is an apocalyptic number.

1084993013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1084993013 is a deficient number, since it is larger than the sum of its proper divisors (89881261).

1084993013 is an equidigital number, since it uses as much as digits as its factorization.

1084993013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420103 (or 6420090 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1084993013 is about 32939.2321252333. The cubic root of 1084993013 is about 1027.5642362305.

The spelling of 1084993013 in words is "one billion, eighty-four million, nine hundred ninety-three thousand, thirteen".

Divisors: 1 13 169 6420077 83461001 1084993013