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8302291105 = 5174113717389
BaseRepresentation
bin1111011101101101…
…01110100010100001
3210102121020002100011
413232312232202201
5114000341303410
63451454524521
7412511211223
oct75666564241
923377202304
108302291105
113580477209
121738506741
13a240639b4
1458a8b6413
15338d0d18a
hex1eedae8a1

8302291105 has 32 divisors (see below), whose sum is σ = 10885583520. Its totient is φ = 6053806080.

The previous prime is 8302291099. The next prime is 8302291121. The reversal of 8302291105 is 5011922038.

It can be written as a sum of positive squares in 16 ways, for example, as 1807865361 + 6494425744 = 42519^2 + 80588^2 .

It is not a de Polignac number, because 8302291105 - 23 = 8302291097 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 468751 + ... + 486139.

It is an arithmetic number, because the mean of its divisors is an integer number (340174485).

Almost surely, 28302291105 is an apocalyptic number.

8302291105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8302291105 is a deficient number, since it is larger than the sum of its proper divisors (2583292415).

8302291105 is a wasteful number, since it uses less digits than its factorization.

8302291105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 8302291105 is about 91116.9089960804. The cubic root of 8302291105 is about 2024.8801315014.

The spelling of 8302291105 in words is "eight billion, three hundred two million, two hundred ninety-one thousand, one hundred five".

Divisors: 1 5 17 41 85 137 205 685 697 2329 3485 5617 11645 17389 28085 86945 95489 295613 477445 712949 1478065 2382293 3564745 11911465 12120133 40498981 60600665 97674013 202494905 488370065 1660458221 8302291105