Search a number
-
+
213918923 is a prime number
BaseRepresentation
bin11001100000000…
…10010011001011
3112220112012121002
430300002103023
5414230401143
633121005215
75205165221
oct1460022313
9486465532
10213918923
11aa82a4a9
125b78380b
133541b85a
14205a6b11
1513ba85b8
hexcc024cb

213918923 has 2 divisors, whose sum is σ = 213918924. Its totient is φ = 213918922.

The previous prime is 213918919. The next prime is 213918961. The reversal of 213918923 is 329819312.

It is an a-pointer prime, because the next prime (213918961) can be obtained adding 213918923 to its sum of digits (38).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213918923 - 22 = 213918919 is a prime.

It is a super-2 number, since 2×2139189232 = 91522611234959858, which contains 22 as substring.

It is equal to p11805779 and since 213918923 and 11805779 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (213918983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106959461 + 106959462.

It is an arithmetic number, because the mean of its divisors is an integer number (106959462).

Almost surely, 2213918923 is an apocalyptic number.

213918923 is a deficient number, since it is larger than the sum of its proper divisors (1).

213918923 is an equidigital number, since it uses as much as digits as its factorization.

213918923 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 38.

The square root of 213918923 is about 14625.9674209948. The cubic root of 213918923 is about 598.0668551258.

The spelling of 213918923 in words is "two hundred thirteen million, nine hundred eighteen thousand, nine hundred twenty-three".