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131123305 = 526224661
BaseRepresentation
bin1111101000011…
…00100001101001
3100010201202100201
413310030201221
5232031421210
621002232201
73151346455
oct764144151
9303652321
10131123305
1168019975
1237ab5661
132121cb71
14135b3665
15b7a153a
hex7d0c869

131123305 has 4 divisors (see below), whose sum is σ = 157347972. Its totient is φ = 104898640.

The previous prime is 131123269. The next prime is 131123323. The reversal of 131123305 is 503321131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 503321131 = 599840269.

It can be written as a sum of positive squares in 2 ways, for example, as 39576681 + 91546624 = 6291^2 + 9568^2 .

It is not a de Polignac number, because 131123305 - 27 = 131123177 is a prime.

It is a super-3 number, since 3×1311233053 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 13112326 + ... + 13112335.

It is an arithmetic number, because the mean of its divisors is an integer number (39336993).

Almost surely, 2131123305 is an apocalyptic number.

It is an amenable number.

131123305 is a deficient number, since it is larger than the sum of its proper divisors (26224667).

131123305 is an equidigital number, since it uses as much as digits as its factorization.

131123305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224666.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 131123305 is about 11450.9084792430. The cubic root of 131123305 is about 508.0346053368.

Adding to 131123305 its reverse (503321131), we get a palindrome (634444436).

The spelling of 131123305 in words is "one hundred thirty-one million, one hundred twenty-three thousand, three hundred five".

Divisors: 1 5 26224661 131123305