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1303222123201 is a prime number
BaseRepresentation
bin10010111101101110000…
…101110111101011000001
311121120211210100021022111
4102331232011313223001
5132322444330420301
62434405244535321
7163104026162515
oct22755605675301
94546753307274
101303222123201
11462769a06029
121906a6551541
1395b7c81090b
144710d492145
1523d76c43551
hex12f6e177ac1

1303222123201 has 2 divisors, whose sum is σ = 1303222123202. Its totient is φ = 1303222123200.

The previous prime is 1303222123169. The next prime is 1303222123211. The reversal of 1303222123201 is 1023212223031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672506604225 + 630715518976 = 820065^2 + 794176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303222123201 - 25 = 1303222123169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303222123211) 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, 651611061600 + 651611061601.

It is an arithmetic number, because the mean of its divisors is an integer number (651611061601).

Almost surely, 21303222123201 is an apocalyptic number.

It is an amenable number.

1303222123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303222123201 is an equidigital number, since it uses as much as digits as its factorization.

1303222123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1303222123201 its reverse (1023212223031), we get a palindrome (2326434346232).

The spelling of 1303222123201 in words is "one trillion, three hundred three billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred one".