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12513123 = 34729761
BaseRepresentation
bin101111101110…
…111101100011
3212112201210000
4233232331203
511200404443
61124111043
7211234260
oct57567543
925481700
1012513123
117077327
124235483
13279171c
14193a267
1511728d3
hexbeef63

12513123 has 40 divisors (see below), whose sum is σ = 22128480. Its totient is φ = 6894720.

The previous prime is 12513101. The next prime is 12513157. The reversal of 12513123 is 32131521.

12513123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12513123 - 213 = 12504931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12513096 and 12513105.

It is not an unprimeable number, because it can be changed into a prime (12513023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16063 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (553212).

Almost surely, 212513123 is an apocalyptic number.

12513123 is a deficient number, since it is larger than the sum of its proper divisors (9615357).

12513123 is an equidigital number, since it uses as much as digits as its factorization.

12513123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12513123 is about 3537.3892915539. The cubic root of 12513123 is about 232.1606287032.

Adding to 12513123 its reverse (32131521), we get a palindrome (44644644).

The spelling of 12513123 in words is "twelve million, five hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 761 783 1827 2283 2349 5327 5481 6849 15981 16443 20547 22069 47943 61641 66207 143829 154483 198621 431487 463449 595863 1390347 1787589 4171041 12513123