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997108083 = 335921032
BaseRepresentation
bin111011011011101…
…010100101110011
32120111020100011000
4323123222211303
54020224424313
6242535253043
733465164436
oct7333524563
92514210130
10997108083
11471929074
12239b1a183
1312b766aaa
14965d781d
155c80e673
hex3b6ea973

997108083 has 36 divisors (see below), whose sum is σ = 1517389320. Its totient is φ = 647127576.

The previous prime is 997108067. The next prime is 997108109. The reversal of 997108083 is 380801799.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 997108083 - 24 = 997108067 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (997108033) 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 35 ways as a sum of consecutive naturals, for example, 9680610 + ... + 9680712.

Almost surely, 2997108083 is an apocalyptic number.

997108083 is a deficient number, since it is larger than the sum of its proper divisors (520281237).

997108083 is an equidigital number, since it uses as much as digits as its factorization.

997108083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 997108083 is about 31577.0182727882. The cubic root of 997108083 is about 999.0350969282.

The spelling of 997108083 in words is "nine hundred ninety-seven million, one hundred eight thousand, eighty-three".

Divisors: 1 3 9 27 59 103 177 309 531 927 1593 2781 3481 6077 10443 10609 18231 31329 31827 54693 93987 95481 164079 286443 358543 625931 1075629 1877793 3226887 5633379 9680661 16900137 36929929 110789787 332369361 997108083