Search a number
-
+
201041123333 is a prime number
BaseRepresentation
bin1011101100111011111…
…1000001100000000101
3201012220220100020012212
42323032333001200011
511243213011421313
6232205040553205
720344662232001
oct2731677014005
9635826306185
10201041123333
1178296522606
1232b68322805
1315c5bc2729b
149a32495701
155369a7a3a8
hex2ecefc1805

201041123333 has 2 divisors, whose sum is σ = 201041123334. Its totient is φ = 201041123332.

The previous prime is 201041123329. The next prime is 201041123369. The reversal of 201041123333 is 333321140102.

201041123333 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 can be written as a sum of positive squares in only one way, i.e., 114662149924 + 86378973409 = 338618^2 + 293903^2 .

It is a cyclic number.

It is not a de Polignac number, because 201041123333 - 22 = 201041123329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201041123299 and 201041123308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201041123533) 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, 100520561666 + 100520561667.

It is an arithmetic number, because the mean of its divisors is an integer number (100520561667).

Almost surely, 2201041123333 is an apocalyptic number.

It is an amenable number.

201041123333 is a deficient number, since it is larger than the sum of its proper divisors (1).

201041123333 is an equidigital number, since it uses as much as digits as its factorization.

201041123333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 201041123333 its reverse (333321140102), we get a palindrome (534362263435).

The spelling of 201041123333 in words is "two hundred one billion, forty-one million, one hundred twenty-three thousand, three hundred thirty-three".