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2201321112313 is a prime number
BaseRepresentation
bin100000000010001000111…
…101101000001011111001
321210102222212000222212011
4200002020331220023321
5242031301201043223
64403134543045521
7315016534503331
oct40021075501371
97712885028764
102201321112313
1177963641a244
122b6769ba08a1
1312c7784a0cbb
147878a1ca0c1
153c3dc41280d
hex20088f682f9

2201321112313 has 2 divisors, whose sum is σ = 2201321112314. Its totient is φ = 2201321112312.

The previous prime is 2201321112301. The next prime is 2201321112371. The reversal of 2201321112313 is 3132111231022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2125204164864 + 76116947449 = 1457808^2 + 275893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201321112313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201321112373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100660556156 + 1100660556157.

It is an arithmetic number, because the mean of its divisors is an integer number (1100660556157).

Almost surely, 22201321112313 is an apocalyptic number.

It is an amenable number.

2201321112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201321112313 is an equidigital number, since it uses as much as digits as its factorization.

2201321112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2201321112313 its reverse (3132111231022), we get a palindrome (5333432343335).

The spelling of 2201321112313 in words is "two trillion, two hundred one billion, three hundred twenty-one million, one hundred twelve thousand, three hundred thirteen".