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103977289 = 13371131913
BaseRepresentation
bin1100011001010…
…01000101001001
321020122121000201
412030221011021
5203104233124
614152332201
72401535533
oct614510511
9236577021
10103977289
1153768749
122a9a4061
1318706c30
14db48853
1591dd144
hex6329149

103977289 has 16 divisors (see below), whose sum is σ = 116080272. Its totient is φ = 92510208.

The previous prime is 103977277. The next prime is 103977343. The reversal of 103977289 is 982779301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 751689 + 103225600 = 867^2 + 10160^2 .

It is a cyclic number.

It is not a de Polignac number, because 103977289 - 25 = 103977257 is a prime.

It is a super-2 number, since 2×1039772892 = 21622553255579042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103978289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53397 + ... + 55309.

It is an arithmetic number, because the mean of its divisors is an integer number (7255017).

Almost surely, 2103977289 is an apocalyptic number.

It is an amenable number.

103977289 is a deficient number, since it is larger than the sum of its proper divisors (12102983).

103977289 is a wasteful number, since it uses less digits than its factorization.

103977289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 103977289 is about 10196.9254680026. The cubic root of 103977289 is about 470.2327035379.

The spelling of 103977289 in words is "one hundred three million, nine hundred seventy-seven thousand, two hundred eighty-nine".

Divisors: 1 13 37 113 481 1469 1913 4181 24869 54353 70781 216169 920153 2810197 7998253 103977289