Search a number
-
+
213153749 is a prime number
BaseRepresentation
bin11001011010001…
…11011111010101
3112212002022222022
430231013133111
5414031404444
633052342525
75165530334
oct1455073725
9485068868
10213153749
11aa357626
125b474a45
13352114a3
1420447d1b
1513aa69ee
hexcb477d5

213153749 has 2 divisors, whose sum is σ = 213153750. Its totient is φ = 213153748.

The previous prime is 213153697. The next prime is 213153763. The reversal of 213153749 is 947351312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150062500 + 63091249 = 12250^2 + 7943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213153749 is a prime.

It is a Chen prime.

It is equal to p11766068 and since 213153749 and 11766068 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213153349) 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, 106576874 + 106576875.

It is an arithmetic number, because the mean of its divisors is an integer number (106576875).

Almost surely, 2213153749 is an apocalyptic number.

It is an amenable number.

213153749 is a deficient number, since it is larger than the sum of its proper divisors (1).

213153749 is an equidigital number, since it uses as much as digits as its factorization.

213153749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 213153749 is about 14599.7859230881. The cubic root of 213153749 is about 597.3529212047.

The spelling of 213153749 in words is "two hundred thirteen million, one hundred fifty-three thousand, seven hundred forty-nine".