Search a number
-
+
213749147 is a prime number
BaseRepresentation
bin11001011110110…
…00110110011011
3112220012120201002
430233120312123
5414204433042
633113215215
75203560233
oct1457306633
9486176632
10213749147
11aa723997
125b70150b
133538c4b1
1420560cc3
1513b73132
hexcbd8d9b

213749147 has 2 divisors, whose sum is σ = 213749148. Its totient is φ = 213749146.

The previous prime is 213749117. The next prime is 213749149. The reversal of 213749147 is 741947312.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213749147 is a prime.

Together with 213749149, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213749147.

It is not a weakly prime, because it can be changed into another prime (213749149) 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, 106874573 + 106874574.

It is an arithmetic number, because the mean of its divisors is an integer number (106874574).

Almost surely, 2213749147 is an apocalyptic number.

213749147 is a deficient number, since it is larger than the sum of its proper divisors (1).

213749147 is an equidigital number, since it uses as much as digits as its factorization.

213749147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 213749147 is about 14620.1623451999. The cubic root of 213749147 is about 597.9085953664.

The spelling of 213749147 in words is "two hundred thirteen million, seven hundred forty-nine thousand, one hundred forty-seven".