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12300220112113 is a prime number
BaseRepresentation
bin1011001011111101111001…
…0000000001110011110001
31121112220000111011222121001
42302333132100001303301
53103011322322041423
642054350525002001
72406442630606213
oct262773620016361
947486014158531
1012300220112113
113a1254865063a
121467a469b3301
136b2ba0cc7c3b
1430749605a5b3
15164e54aaccad
hexb2fde401cf1

12300220112113 has 2 divisors, whose sum is σ = 12300220112114. Its totient is φ = 12300220112112.

The previous prime is 12300220112051. The next prime is 12300220112143. The reversal of 12300220112113 is 31121102200321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9463394045169 + 2836826066944 = 3076263^2 + 1684288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12300220112113 is a prime.

It is not a weakly prime, because it can be changed into another prime (12300220112143) 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, 6150110056056 + 6150110056057.

It is an arithmetic number, because the mean of its divisors is an integer number (6150110056057).

Almost surely, 212300220112113 is an apocalyptic number.

It is an amenable number.

12300220112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300220112113 is an equidigital number, since it uses as much as digits as its factorization.

12300220112113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12300220112113 its reverse (31121102200321), we get a palindrome (43421322312434).

The spelling of 12300220112113 in words is "twelve trillion, three hundred billion, two hundred twenty million, one hundred twelve thousand, one hundred thirteen".