Search a number
-
+
2233123231993 is a prime number
BaseRepresentation
bin100000011111110000100…
…001000101100011111001
321220111002012100001200121
4200133300201011203321
5243041414021410433
64425514352533241
7320223606165403
oct40376041054371
97814065301617
102233123231993
11791075935485
12300964551221
13132776018bb4
147a125addb73
153d14e362c2d
hex207f08458f9

2233123231993 has 2 divisors, whose sum is σ = 2233123231994. Its totient is φ = 2233123231992.

The previous prime is 2233123231987. The next prime is 2233123232027. The reversal of 2233123231993 is 3991323213322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2233016171584 + 107060409 = 1494328^2 + 10347^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233123231993 - 213 = 2233123223801 is a prime.

It is a super-3 number, since 3×22331232319933 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2233123231903) 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, 1116561615996 + 1116561615997.

It is an arithmetic number, because the mean of its divisors is an integer number (1116561615997).

Almost surely, 22233123231993 is an apocalyptic number.

It is an amenable number.

2233123231993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233123231993 is an equidigital number, since it uses as much as digits as its factorization.

2233123231993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 43.

The spelling of 2233123231993 in words is "two trillion, two hundred thirty-three billion, one hundred twenty-three million, two hundred thirty-one thousand, nine hundred ninety-three".