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13084003309 = 135411860373
BaseRepresentation
bin11000010111101111…
…00000101111101101
31020202211212020100011
430023313200233231
5203244001101214
610002151333221
7642143123146
oct141367405755
936684766304
1013084003309
115604640383
122651981211
1313069042c0
148c1994acd
155189e6ac4
hex30bde0bed

13084003309 has 8 divisors (see below), whose sum is σ = 14116517912. Its totient is φ = 12055210560.

The previous prime is 13084003217. The next prime is 13084003333. The reversal of 13084003309 is 90330048031.

It can be written as a sum of positive squares in 4 ways, for example, as 2841956100 + 10242047209 = 53310^2 + 101203^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13084003309 - 27 = 13084003181 is a prime.

It is a super-3 number, since 3×130840033093 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084003349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923154 + ... + 937219.

It is an arithmetic number, because the mean of its divisors is an integer number (1764564739).

Almost surely, 213084003309 is an apocalyptic number.

It is an amenable number.

13084003309 is a deficient number, since it is larger than the sum of its proper divisors (1032514603).

13084003309 is a wasteful number, since it uses less digits than its factorization.

13084003309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860927.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13084003309 in words is "thirteen billion, eighty-four million, three thousand, three hundred nine".

Divisors: 1 13 541 7033 1860373 24184849 1006461793 13084003309