Search a number
-
+
2223121003217 is a prime number
BaseRepresentation
bin100000010110011100010…
…101100111001011010001
321212112021010101012020222
4200112130111213023101
5242410422434100332
64421142050242425
7316421003511512
oct40263425471321
97775233335228
102223121003217
11787902938a04
122baa32886415
13131840a2b12a
147985755aa09
153cc661b4712
hex2059c5672d1

2223121003217 has 2 divisors, whose sum is σ = 2223121003218. Its totient is φ = 2223121003216.

The previous prime is 2223121003199. The next prime is 2223121003249. The reversal of 2223121003217 is 7123001213222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2221244467456 + 1876535761 = 1490384^2 + 43319^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223121003217 - 238 = 1948243096273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223121003297) 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, 1111560501608 + 1111560501609.

It is an arithmetic number, because the mean of its divisors is an integer number (1111560501609).

Almost surely, 22223121003217 is an apocalyptic number.

It is an amenable number.

2223121003217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223121003217 is an equidigital number, since it uses as much as digits as its factorization.

2223121003217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 2223121003217 its reverse (7123001213222), we get a palindrome (9346122216439).

The spelling of 2223121003217 in words is "two trillion, two hundred twenty-three billion, one hundred twenty-one million, three thousand, two hundred seventeen".