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301431133 = 2955718661
BaseRepresentation
bin10001111101110…
…111100101011101
3210000012021210001
4101331313211131
51104131244013
645524414301
710320056653
oct2175674535
9700167701
10301431133
11145171743
1284b47391
134a5ac323
142c066dd3
151b6e2ddd
hex11f7795d

301431133 has 8 divisors (see below), whose sum is σ = 312401880. Its totient is φ = 290498880.

The previous prime is 301431121. The next prime is 301431187. The reversal of 301431133 is 331134103.

It can be written as a sum of positive squares in 4 ways, for example, as 1898884 + 299532249 = 1378^2 + 17307^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 301431133 - 25 = 301431101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 301431133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301431113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6823 + ... + 25483.

It is an arithmetic number, because the mean of its divisors is an integer number (39050235).

Almost surely, 2301431133 is an apocalyptic number.

It is an amenable number.

301431133 is a deficient number, since it is larger than the sum of its proper divisors (10970747).

301431133 is a wasteful number, since it uses less digits than its factorization.

301431133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19247.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 301431133 is about 17361.7721733699. The cubic root of 301431133 is about 670.4957591639.

Adding to 301431133 its reverse (331134103), we get a palindrome (632565236).

The spelling of 301431133 in words is "three hundred one million, four hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 29 557 16153 18661 541169 10394177 301431133