Search a number
-
+
1049236129 is a prime number
BaseRepresentation
bin111110100010100…
…001001010100001
32201010022201101101
4332202201022201
54122101024004
6252040434401
735000234314
oct7642411241
92633281341
101049236129
114992a26a7
12253478a01
131394b89a6
149d4c697b
15621a9ba4
hex3e8a12a1

1049236129 has 2 divisors, whose sum is σ = 1049236130. Its totient is φ = 1049236128.

The previous prime is 1049236127. The next prime is 1049236151. The reversal of 1049236129 is 9216329401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1017291025 + 31945104 = 31895^2 + 5652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1049236129 - 21 = 1049236127 is a prime.

It is a super-2 number, since 2×10492361292 = 2201792908797809282, which contains 22 as substring.

Together with 1049236127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1049236127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524618064 + 524618065.

It is an arithmetic number, because the mean of its divisors is an integer number (524618065).

Almost surely, 21049236129 is an apocalyptic number.

It is an amenable number.

1049236129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1049236129 is an equidigital number, since it uses as much as digits as its factorization.

1049236129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 1049236129 is about 32391.9145621249. The cubic root of 1049236129 is about 1016.1498221950.

The spelling of 1049236129 in words is "one billion, forty-nine million, two hundred thirty-six thousand, one hundred twenty-nine".