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12146699630113 is a prime number
BaseRepresentation
bin1011000011000001111110…
…1101110111011000100001
31121000012202101022110022021
42300300133231313120201
53043002420101130423
641500041120141441
72362366353211066
oct260603755673041
947005671273267
1012146699630113
113963428306234
121442141167881
136a157628a549
142ddc90cd8c6d
15160e6bdc795d
hexb0c1fb77621

12146699630113 has 2 divisors, whose sum is σ = 12146699630114. Its totient is φ = 12146699630112.

The previous prime is 12146699630111. The next prime is 12146699630147. The reversal of 12146699630113 is 31103699664121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7714967321889 + 4431732308224 = 2777583^2 + 2105168^2 .

It is a cyclic number.

It is not a de Polignac number, because 12146699630113 - 21 = 12146699630111 is a prime.

Together with 12146699630111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12146699630111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073349815056 + 6073349815057.

It is an arithmetic number, because the mean of its divisors is an integer number (6073349815057).

Almost surely, 212146699630113 is an apocalyptic number.

It is an amenable number.

12146699630113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12146699630113 is an equidigital number, since it uses as much as digits as its factorization.

12146699630113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 12146699630113 in words is "twelve trillion, one hundred forty-six billion, six hundred ninety-nine million, six hundred thirty thousand, one hundred thirteen".