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131300301 = 31135911083
BaseRepresentation
bin1111101001101…
…11101111001101
3100011001202011010
413310313233031
5232103102201
621010115433
73153014466
oct764675715
9304052133
10131300301
116812a950
1237b7bb79
13212825b2
141361bd6d
15b7d8bd6
hex7d37bcd

131300301 has 16 divisors (see below), whose sum is σ = 191531520. Its totient is φ = 79347120.

The previous prime is 131300297. The next prime is 131300329. The reversal of 131300301 is 103003131.

It is not a de Polignac number, because 131300301 - 22 = 131300297 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350301) 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 15 ways as a sum of consecutive naturals, for example, 6306 + ... + 17388.

It is an arithmetic number, because the mean of its divisors is an integer number (11970720).

Almost surely, 2131300301 is an apocalyptic number.

131300301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131300301 is a deficient number, since it is larger than the sum of its proper divisors (60231219).

131300301 is a wasteful number, since it uses less digits than its factorization.

131300301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131300301 is about 11458.6343427129. The cubic root of 131300301 is about 508.2630917068.

Adding to 131300301 its reverse (103003131), we get a palindrome (234303432).

The spelling of 131300301 in words is "one hundred thirty-one million, three hundred thousand, three hundred one".

Divisors: 1 3 11 33 359 1077 3949 11083 11847 33249 121913 365739 3978797 11936391 43766767 131300301