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103008123 = 3215175797
BaseRepresentation
bin1100010001111…
…00011101111011
321011211100120200
412020330131323
5202332224443
614115453243
72360361141
oct610743573
9234740520
10103008123
1153166589
122a5b7223
1318457a6a
14d975591
15909add3
hex623c77b

103008123 has 12 divisors (see below), whose sum is σ = 149776848. Its totient is φ = 68216400.

The previous prime is 103008121. The next prime is 103008127. The reversal of 103008123 is 321800301.

It is not a de Polignac number, because 103008123 - 21 = 103008121 is a prime.

It is a super-3 number, since 3×1030081233 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103008096 and 103008105.

It is not an unprimeable number, because it can be changed into a prime (103008121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36540 + ... + 39257.

It is an arithmetic number, because the mean of its divisors is an integer number (12481404).

Almost surely, 2103008123 is an apocalyptic number.

103008123 is a deficient number, since it is larger than the sum of its proper divisors (46768725).

103008123 is a wasteful number, since it uses less digits than its factorization.

103008123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75954 (or 75951 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103008123 is about 10149.2917486887. The cubic root of 103008123 is about 468.7671370801.

Adding to 103008123 its reverse (321800301), we get a palindrome (424808424).

The spelling of 103008123 in words is "one hundred three million, eight thousand, one hundred twenty-three".

Divisors: 1 3 9 151 453 1359 75797 227391 682173 11445347 34336041 103008123