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123200023201 is a prime number
BaseRepresentation
bin111001010111101001…
…0110010101010100001
3102210000000120122002021
41302233102302222201
54004303201220301
6132333004021441
711621003630053
oct1625722625241
9383000518067
10123200023201
11482812239a2
121ba63531881
13b805163618
145d6a3398d3
153310daa8a1
hex1caf4b2aa1

123200023201 has 2 divisors, whose sum is σ = 123200023202. Its totient is φ = 123200023200.

The previous prime is 123200023189. The next prime is 123200023237. The reversal of 123200023201 is 102320002321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119812899600 + 3387123601 = 346140^2 + 58199^2 .

It is an emirp because it is prime and its reverse (102320002321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123200023201 - 27 = 123200023073 is a prime.

It is not a weakly prime, because it can be changed into another prime (123200023601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600011600 + 61600011601.

It is an arithmetic number, because the mean of its divisors is an integer number (61600011601).

Almost surely, 2123200023201 is an apocalyptic number.

It is an amenable number.

123200023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123200023201 is an equidigital number, since it uses as much as digits as its factorization.

123200023201 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 16.

Adding to 123200023201 its reverse (102320002321), we get a palindrome (225520025522).

It can be divided in two parts, 12320002320 and 1, that added together give a palindrome (12320002321).

The spelling of 123200023201 in words is "one hundred twenty-three billion, two hundred million, twenty-three thousand, two hundred one".