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20300112223201 is a prime number
BaseRepresentation
bin1001001110110011111001…
…11110100101101111100001
32122212200010201120001200201
410213121330332211233201
510130044112212120301
6111101424240345201
74163430463565506
oct447317476455741
978780121501621
1020300112223201
116517258144288
12233a36a615201
13b433a54458b5
145027602534ad
152530bc311201
hex12767cfa5be1

20300112223201 has 2 divisors, whose sum is σ = 20300112223202. Its totient is φ = 20300112223200.

The previous prime is 20300112223199. The next prime is 20300112223219. The reversal of 20300112223201 is 10232221100302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15088571128801 + 5211541094400 = 3884401^2 + 2282880^2 .

It is a cyclic number.

It is not a de Polignac number, because 20300112223201 - 21 = 20300112223199 is a prime.

It is a super-3 number, since 3×203001122232013 (a number of 41 digits) contains 333 as substring.

Together with 20300112223199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20300112224201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10150056111600 + 10150056111601.

It is an arithmetic number, because the mean of its divisors is an integer number (10150056111601).

Almost surely, 220300112223201 is an apocalyptic number.

It is an amenable number.

20300112223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20300112223201 is an equidigital number, since it uses as much as digits as its factorization.

20300112223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20300112223201 its reverse (10232221100302), we get a palindrome (30532333323503).

The spelling of 20300112223201 in words is "twenty trillion, three hundred billion, one hundred twelve million, two hundred twenty-three thousand, two hundred one".