Search a number
-
+
211122001003 is a prime number
BaseRepresentation
bin1100010010011111011…
…0100001010001101011
3202011221110021212122111
43010213312201101223
511424334213013003
6240553233103151
721152541253624
oct3044766412153
9664843255574
10211122001003
1181599958171
1234b003b7ab7
1316ba75c1464
14a30b26ca4b
155759ab1e6d
hex3127da146b

211122001003 has 2 divisors, whose sum is σ = 211122001004. Its totient is φ = 211122001002.

The previous prime is 211122000989. The next prime is 211122001021. The reversal of 211122001003 is 300100221112.

211122001003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 211122001003 - 225 = 211088446571 is a prime.

It is a super-3 number, since 3×2111220010033 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (211122004003) 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, 105561000501 + 105561000502.

It is an arithmetic number, because the mean of its divisors is an integer number (105561000502).

Almost surely, 2211122001003 is an apocalyptic number.

211122001003 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122001003 is an equidigital number, since it uses as much as digits as its factorization.

211122001003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211122001003 its reverse (300100221112), we get a palindrome (511222222115).

The spelling of 211122001003 in words is "two hundred eleven billion, one hundred twenty-two million, one thousand, three".