Search a number
-
+
213371083649 is a prime number
BaseRepresentation
bin1100011010110111101…
…0000101101110000001
3202101202012100010000202
43012231322011232001
511443440444134044
6242004334454545
721262351200113
oct3065572055601
9671665303022
10213371083649
1182543461259
1235429664455
13171755497a9
14a481c453b3
15583c276c4e
hex31ade85b81

213371083649 has 2 divisors, whose sum is σ = 213371083650. Its totient is φ = 213371083648.

The previous prime is 213371083543. The next prime is 213371083691. The reversal of 213371083649 is 946380173312.

213371083649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114925746049 + 98445337600 = 339007^2 + 313760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213371083649 is a prime.

It is not a weakly prime, because it can be changed into another prime (213371083249) 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, 106685541824 + 106685541825.

It is an arithmetic number, because the mean of its divisors is an integer number (106685541825).

Almost surely, 2213371083649 is an apocalyptic number.

It is an amenable number.

213371083649 is a deficient number, since it is larger than the sum of its proper divisors (1).

213371083649 is an equidigital number, since it uses as much as digits as its factorization.

213371083649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 213371083649 in words is "two hundred thirteen billion, three hundred seventy-one million, eighty-three thousand, six hundred forty-nine".