Search a number
-
+
211021220112013 is a prime number
BaseRepresentation
bin101111111110110000110100…
…110111010110011010001101
31000200011102122122200010011101
4233332300310313112122031
5210124332424322041023
62024445451001423101
762306531360500003
oct5776606467263215
91020142578603141
10211021220112013
1161268662494513
121b8013ab79aa91
1390992a5aa441c
143a176a5528a73
15195e22d6741ad
hexbfec34dd668d

211021220112013 has 2 divisors, whose sum is σ = 211021220112014. Its totient is φ = 211021220112012.

The previous prime is 211021220112007. The next prime is 211021220112029. The reversal of 211021220112013 is 310211022120112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115108930427689 + 95912289684324 = 10728883^2 + 9793482^2 .

It is a cyclic number.

It is not a de Polignac number, because 211021220112013 - 241 = 208822196856461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211021220152013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510610056006 + 105510610056007.

It is an arithmetic number, because the mean of its divisors is an integer number (105510610056007).

Almost surely, 2211021220112013 is an apocalyptic number.

It is an amenable number.

211021220112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211021220112013 is an equidigital number, since it uses as much as digits as its factorization.

211021220112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211021220112013 its reverse (310211022120112), we get a palindrome (521232242232125).

The spelling of 211021220112013 in words is "two hundred eleven trillion, twenty-one billion, two hundred twenty million, one hundred twelve thousand, thirteen".