Search a number
-
+
4223214420133 is a prime number
BaseRepresentation
bin111101011101001011001…
…100100000000010100101
3112221201212002000010010211
4331131023030200002211
51023143120342421013
612552041245415421
7614055122163232
oct75351314400245
915851762003124
104223214420133
111389067494255
125825a1b6a571
1324832a73c787
141085945a6789
1574cc749623d
hex3d74b3200a5

4223214420133 has 2 divisors, whose sum is σ = 4223214420134. Its totient is φ = 4223214420132.

The previous prime is 4223214420091. The next prime is 4223214420143. The reversal of 4223214420133 is 3310244123224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2492666277124 + 1730548143009 = 1578818^2 + 1315503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4223214420133 is a prime.

It is a super-3 number, since 3×42232144201333 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4223214420095 and 4223214420104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4223214420143) 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, 2111607210066 + 2111607210067.

It is an arithmetic number, because the mean of its divisors is an integer number (2111607210067).

Almost surely, 24223214420133 is an apocalyptic number.

It is an amenable number.

4223214420133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4223214420133 is an equidigital number, since it uses as much as digits as its factorization.

4223214420133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4223214420133 its reverse (3310244123224), we get a palindrome (7533458543357).

The spelling of 4223214420133 in words is "four trillion, two hundred twenty-three billion, two hundred fourteen million, four hundred twenty thousand, one hundred thirty-three".