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6123107329 is a prime number
BaseRepresentation
bin1011011001111011…
…10011010000000001
3120210201201002011221
411230331303100001
5100020003413304
62451331235041
7304510360603
oct55475632001
916721632157
106123107329
112662375189
12122a748a81
13767740141
144212d7173
1525c854054
hex16cf73401

6123107329 has 2 divisors, whose sum is σ = 6123107330. Its totient is φ = 6123107328.

The previous prime is 6123107327. The next prime is 6123107339. The reversal of 6123107329 is 9237013216.

6123107329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5839252225 + 283855104 = 76415^2 + 16848^2 .

It is a cyclic number.

It is not a de Polignac number, because 6123107329 - 21 = 6123107327 is a prime.

Together with 6123107327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 6123107294 and 6123107303.

It is not a weakly prime, because it can be changed into another prime (6123107327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3061553664 + 3061553665.

It is an arithmetic number, because the mean of its divisors is an integer number (3061553665).

Almost surely, 26123107329 is an apocalyptic number.

It is an amenable number.

6123107329 is a deficient number, since it is larger than the sum of its proper divisors (1).

6123107329 is an equidigital number, since it uses as much as digits as its factorization.

6123107329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 6123107329 is about 78250.2864467601. The cubic root of 6123107329 is about 1829.4643767720.

The spelling of 6123107329 in words is "six billion, one hundred twenty-three million, one hundred seven thousand, three hundred twenty-nine".