Search a number
-
+
130829301 = 3214997561
BaseRepresentation
bin1111100110001…
…00101111110101
3100010011211001200
413303010233311
5231443014201
620552043113
73146013351
oct763045765
9303154050
10130829301
1167938a99
1237993499
13211490b5
1413538461
15b744386
hex7cc4bf5

130829301 has 12 divisors (see below), whose sum is σ = 190245900. Its totient is φ = 86633280.

The previous prime is 130829291. The next prime is 130829311. The reversal of 130829301 is 103928031.

It is an interprime number because it is at equal distance from previous prime (130829291) and next prime (130829311).

It can be written as a sum of positive squares in 2 ways, for example, as 10400625 + 120428676 = 3225^2 + 10974^2 .

It is not a de Polignac number, because 130829301 - 211 = 130827253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130829311) 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 in 11 ways as a sum of consecutive naturals, for example, 47440 + ... + 50121.

It is an arithmetic number, because the mean of its divisors is an integer number (15853825).

Almost surely, 2130829301 is an apocalyptic number.

It is an amenable number.

130829301 is a deficient number, since it is larger than the sum of its proper divisors (59416599).

130829301 is a wasteful number, since it uses less digits than its factorization.

130829301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97716 (or 97713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130829301 is about 11438.0636910274. The cubic root of 130829301 is about 507.6546169996.

The spelling of 130829301 in words is "one hundred thirty million, eight hundred twenty-nine thousand, three hundred one".

Divisors: 1 3 9 149 447 1341 97561 292683 878049 14536589 43609767 130829301