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2201312117 is a prime number
BaseRepresentation
bin1000001100110101…
…0101101101110101
312200102011020112102
42003031111231311
514002013441432
61002233431445
7105356562404
oct20315255565
95612136472
102201312117
11a2a646414
1251526b585
132910a0964
1416c4dd63b
15cd3ca962
hex83355b75

2201312117 has 2 divisors, whose sum is σ = 2201312118. Its totient is φ = 2201312116.

The previous prime is 2201312101. The next prime is 2201312147. The reversal of 2201312117 is 7112131022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2171653201 + 29658916 = 46601^2 + 5446^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201312117 - 24 = 2201312101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201312147) 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, 1100656058 + 1100656059.

It is an arithmetic number, because the mean of its divisors is an integer number (1100656059).

Almost surely, 22201312117 is an apocalyptic number.

It is an amenable number.

2201312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201312117 is an equidigital number, since it uses as much as digits as its factorization.

2201312117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 2201312117 is about 46918.1427275207. The cubic root of 2201312117 is about 1300.8499603351.

Adding to 2201312117 its reverse (7112131022), we get a palindrome (9313443139).

The spelling of 2201312117 in words is "two billion, two hundred one million, three hundred twelve thousand, one hundred seventeen".