Search a number
-
+
12300223202153 is a prime number
BaseRepresentation
bin1011001011111101111001…
…1011110100001101101001
31121112220000200222222022222
42302333132123310031221
53103011324114432103
642054351115123425
72406442666066115
oct262773633641551
947486020888288
1012300223202153
113a1254a371197
121467a47a43575
136b2ba183a573
14307496622745
15164e54ebd638
hexb2fde6f4369

12300223202153 has 2 divisors, whose sum is σ = 12300223202154. Its totient is φ = 12300223202152.

The previous prime is 12300223202131. The next prime is 12300223202249. The reversal of 12300223202153 is 35120232200321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6320985420649 + 5979237781504 = 2514157^2 + 2445248^2 .

It is a cyclic number.

It is not a de Polignac number, because 12300223202153 - 28 = 12300223201897 is a prime.

It is a super-2 number, since 2×123002232021532 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12300223201153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150111601076 + 6150111601077.

It is an arithmetic number, because the mean of its divisors is an integer number (6150111601077).

Almost surely, 212300223202153 is an apocalyptic number.

It is an amenable number.

12300223202153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300223202153 is an equidigital number, since it uses as much as digits as its factorization.

12300223202153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 12300223202153 its reverse (35120232200321), we get a palindrome (47420455402474).

The spelling of 12300223202153 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, two hundred two thousand, one hundred fifty-three".