Search a number
-
+
211006121113 is a prime number
BaseRepresentation
bin1100010010000011110…
…0011110010010011001
3202011122101020120022201
43010200330132102121
511424120031333423
6240533533250201
721146633302444
oct3044074362231
9664571216281
10211006121113
118153a4aa967
1234a89633961
1316b895aa988
14a2d9b0665b
15574e8222ad
hex3120f1e499

211006121113 has 2 divisors, whose sum is σ = 211006121114. Its totient is φ = 211006121112.

The previous prime is 211006121101. The next prime is 211006121173. The reversal of 211006121113 is 311121600112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206076957849 + 4929163264 = 453957^2 + 70208^2 .

It is a cyclic number.

It is not a de Polignac number, because 211006121113 - 233 = 202416186521 is a prime.

It is not a weakly prime, because it can be changed into another prime (211006121173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105503060556 + 105503060557.

It is an arithmetic number, because the mean of its divisors is an integer number (105503060557).

Almost surely, 2211006121113 is an apocalyptic number.

It is an amenable number.

211006121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211006121113 is an equidigital number, since it uses as much as digits as its factorization.

211006121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 211006121113 its reverse (311121600112), we get a palindrome (522127721225).

The spelling of 211006121113 in words is "two hundred eleven billion, six million, one hundred twenty-one thousand, one hundred thirteen".