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8133083013 = 3111032392787
BaseRepresentation
bin1111001001100010…
…01111111110000101
3202222210211102110210
413210301033332011
5113124032124023
63423012110033
7405355031166
oct74461177605
922883742423
108133083013
1134a3a05710
1216ab905319
139c7c9ac73
1457222b76d
15329037593
hex1e4c4ff85

8133083013 has 16 divisors (see below), whose sum is σ = 11944797696. Its totient is φ = 4881283440.

The previous prime is 8133083011. The next prime is 8133083017. The reversal of 8133083013 is 3103803318.

It is not a de Polignac number, because 8133083013 - 21 = 8133083011 is a prime.

It is a super-2 number, since 2×81330830132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133083011) 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 15 ways as a sum of consecutive naturals, for example, 1192995 + ... + 1199792.

It is an arithmetic number, because the mean of its divisors is an integer number (746549856).

Almost surely, 28133083013 is an apocalyptic number.

It is an amenable number.

8133083013 is a deficient number, since it is larger than the sum of its proper divisors (3811714683).

8133083013 is a wasteful number, since it uses less digits than its factorization.

8133083013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392904.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8133083013 is about 90183.6072299173. The cubic root of 8133083013 is about 2011.0293163677.

The spelling of 8133083013 in words is "eight billion, one hundred thirty-three million, eighty-three thousand, thirteen".

Divisors: 1 3 11 33 103 309 1133 3399 2392787 7178361 26320657 78961971 246457061 739371183 2711027671 8133083013