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213111344137 is a prime number
BaseRepresentation
bin1100011001111001101…
…1010000110000001001
3202101002002120222101211
43012132123100300021
511442423001003022
6241522455413121
721253045352056
oct3063633206011
9671062528354
10213111344137
118241a8860aa
12353766841a1
13171337a6c83
14a45955202d
15582456be77
hex319e6d0c09

213111344137 has 2 divisors, whose sum is σ = 213111344138. Its totient is φ = 213111344136.

The previous prime is 213111344107. The next prime is 213111344143. The reversal of 213111344137 is 731443111312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107967445056 + 105143899081 = 328584^2 + 324259^2 .

It is a cyclic number.

It is not a de Polignac number, because 213111344137 - 227 = 212977126409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213111344099 and 213111344108.

It is not a weakly prime, because it can be changed into another prime (213111344107) 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, 106555672068 + 106555672069.

It is an arithmetic number, because the mean of its divisors is an integer number (106555672069).

Almost surely, 2213111344137 is an apocalyptic number.

It is an amenable number.

213111344137 is a deficient number, since it is larger than the sum of its proper divisors (1).

213111344137 is an equidigital number, since it uses as much as digits as its factorization.

213111344137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

Adding to 213111344137 its reverse (731443111312), we get a palindrome (944554455449).

The spelling of 213111344137 in words is "two hundred thirteen billion, one hundred eleven million, three hundred forty-four thousand, one hundred thirty-seven".