Search a number
-
+
301229057 is a prime number
BaseRepresentation
bin10001111101000…
…110010000000001
3202222211000120202
4101331012100001
51104103312212
645520214545
710315255553
oct2175062001
9688730522
10301229057
11145043938
1284a6a455
134a53b35c
142c0134d3
151b6a30c2
hex11f46401

301229057 has 2 divisors, whose sum is σ = 301229058. Its totient is φ = 301229056.

The previous prime is 301229017. The next prime is 301229081. The reversal of 301229057 is 750922103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151019521 + 150209536 = 12289^2 + 12256^2 .

It is a cyclic number.

It is not a de Polignac number, because 301229057 - 212 = 301224961 is a prime.

It is a super-2 number, since 2×3012290572 = 181477889562218498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (301229017) 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, 150614528 + 150614529.

It is an arithmetic number, because the mean of its divisors is an integer number (150614529).

Almost surely, 2301229057 is an apocalyptic number.

It is an amenable number.

301229057 is a deficient number, since it is larger than the sum of its proper divisors (1).

301229057 is an equidigital number, since it uses as much as digits as its factorization.

301229057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 301229057 is about 17355.9516304926. The cubic root of 301229057 is about 670.3458947619.

The spelling of 301229057 in words is "three hundred one million, two hundred twenty-nine thousand, fifty-seven".